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4907962368 = 212354931
BaseRepresentation
bin1001001001000100…
…11001000000000000
3110200001012022200000
410210202121000000
540022414243433
62131002400000
7232423664121
oct44442310000
913601168600
104907962368
112099464851
12b4b800000
13602a7535a
14347b84048
151dad26113
hex124899000

4907962368 has 156 divisors (see below), whose sum is σ = 14704876368. Its totient is φ = 1635655680.

The previous prime is 4907962363. The next prime is 4907962379. The reversal of 4907962368 is 8632697094.

It is a happy number.

4907962368 is a `hidden beast` number, since 4 + 9 + 0 + 7 + 9 + 623 + 6 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4907962363) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 992863 + ... + 997793.

It is an arithmetic number, because the mean of its divisors is an integer number (94262028).

Almost surely, 24907962368 is an apocalyptic number.

4907962368 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 4907962368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7352438184).

4907962368 is an abundant number, since it is smaller than the sum of its proper divisors (9796914000).

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

4907962368 is an frugal number, since it uses more digits than its factorization.

4907962368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4970 (or 4936 counting only the distinct ones).

The product of its (nonzero) digits is 3919104, while the sum is 54.

The square root of 4907962368 is about 70056.8509711934. The cubic root of 4907962368 is about 1699.4187595398.

The spelling of 4907962368 in words is "four billion, nine hundred seven million, nine hundred sixty-two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2048 2304 2592 3072 3456 3888 4096 4608 4931 5184 6144 6912 7776 9216 9862 10368 12288 13824 14793 15552 18432 19724 20736 27648 29586 31104 36864 39448 41472 44379 55296 59172 62208 78896 82944 88758 110592 118344 124416 133137 157792 165888 177516 236688 248832 266274 315584 331776 355032 399411 473376 497664 532548 631168 710064 798822 946752 995328 1065096 1198233 1262336 1420128 1597644 1893504 2130192 2396466 2524672 2840256 3195288 3787008 4260384 4792932 5049344 5680512 6390576 7574016 8520768 9585864 10098688 11361024 12781152 15148032 17041536 19171728 20197376 22722048 25562304 30296064 34083072 38343456 45444096 51124608 60592128 68166144 76686912 90888192 102249216 136332288 153373824 181776384 204498432 272664576 306747648 408996864 545329152 613495296 817993728 1226990592 1635987456 2453981184 4907962368