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4986292608 = 27341143721
BaseRepresentation
bin1001010010011010…
…01100100110000000
3110212111120220120000
410221031030212000
540202442330413
62142441320000
7234364534143
oct45115144600
913774526500
104986292608
1121296a5490
12b71a96000
1361606c6cb
1435433405a
151e2b4a073
hex12934c980

4986292608 has 160 divisors (see below), whose sum is σ = 16188507720. Its totient is φ = 1510963200.

The previous prime is 4986292603. The next prime is 4986292621. The reversal of 4986292608 is 8062926894.

It is a happy number.

4986292608 is a `hidden beast` number, since 4 + 9 + 8 + 6 + 29 + 2 + 608 = 666.

It is a super-2 number, since 2×49862926082 = 49726227945190883328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4986292603) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 92188 + ... + 135908.

Almost surely, 24986292608 is an apocalyptic number.

4986292608 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4986292608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8094253860).

4986292608 is an abundant number, since it is smaller than the sum of its proper divisors (11202215112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4986292608 is a wasteful number, since it uses less digits than its factorization.

4986292608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43758 (or 43737 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 4986292608 is about 70613.6856990201. The cubic root of 4986292608 is about 1708.4118958268.

The spelling of 4986292608 in words is "four billion, nine hundred eighty-six million, two hundred ninety-two thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 128 132 144 162 176 192 198 216 264 288 297 324 352 384 396 432 528 576 594 648 704 792 864 891 1056 1152 1188 1296 1408 1584 1728 1782 2112 2376 2592 3168 3456 3564 4224 4752 5184 6336 7128 9504 10368 12672 14256 19008 28512 38016 43721 57024 87442 114048 131163 174884 262326 349768 393489 480931 524652 699536 786978 961862 1049304 1180467 1399072 1442793 1573956 1923724 2098608 2360934 2798144 2885586 3147912 3541401 3847448 4197216 4328379 4721868 5596288 5771172 6295824 7082802 7694896 8394432 8656758 9443736 11542344 12591648 12985137 14165604 15389792 16788864 17313516 18887472 23084688 25183296 25970274 28331208 30779584 34627032 37774944 38955411 46169376 50366592 51940548 56662416 61559168 69254064 75549888 77910822 92338752 103881096 113324832 138508128 151099776 155821644 184677504 207762192 226649664 277016256 311643288 415524384 453299328 554032512 623286576 831048768 1246573152 1662097536 2493146304 4986292608