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5812261632 = 28325414663
BaseRepresentation
bin1010110100111000…
…00001001100000000
3120000001210111001100
411122130001030000
543400414333012
62400424534400
7264014260122
oct53234011400
916001714040
105812261632
112512963211
121162621400
13718215888
143d1cdd212
152404018dc
hex15a701300

5812261632 has 108 divisors (see below), whose sum is σ = 16792759984. Its totient is φ = 1933424640.

The previous prime is 5812261619. The next prime is 5812261643. The reversal of 5812261632 is 2361622185.

5812261632 is a `hidden beast` number, since 5 + 8 + 1 + 2 + 2 + 616 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1244133 + ... + 1248795.

Almost surely, 25812261632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5812261632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8396379992).

5812261632 is an abundant number, since it is smaller than the sum of its proper divisors (10980498352).

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

5812261632 is a wasteful number, since it uses less digits than its factorization.

5812261632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5226 (or 5209 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 5812261632 is about 76238.1901149286. The cubic root of 5812261632 is about 1797.9670084266.

The spelling of 5812261632 in words is "five billion, eight hundred twelve million, two hundred sixty-one thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 541 576 768 1082 1152 1623 2164 2304 3246 4328 4663 4869 6492 8656 9326 9738 12984 13989 17312 18652 19476 25968 27978 34624 37304 38952 41967 51936 55956 69248 74608 77904 83934 103872 111912 138496 149216 155808 167868 207744 223824 298432 311616 335736 415488 447648 596864 623232 671472 895296 1193728 1246464 1342944 1790592 2522683 2685888 3581184 5045366 5371776 7568049 10090732 10743552 15136098 20181464 22704147 30272196 40362928 45408294 60544392 80725856 90816588 121088784 161451712 181633176 242177568 322903424 363266352 484355136 645806848 726532704 968710272 1453065408 1937420544 2906130816 5812261632