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81532656 = 2434531187
BaseRepresentation
bin1001101110000…
…01011011110000
312200102021210000
410313001123300
5131333021111
612031310000
72010005352
oct467013360
9180367700
1081532656
1142028767
122337b300
1313b78b9a
14ab850d2
157257c56
hex4dc16f0

81532656 has 100 divisors (see below), whose sum is σ = 240634152. Its totient is φ = 26642304.

The previous prime is 81532621. The next prime is 81532669. The reversal of 81532656 is 65623518.

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

It is a self number, because there is not a number n which added to its sum of digits gives 81532656.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 68095 + ... + 69281.

Almost surely, 281532656 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 81532656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120317076).

81532656 is an abundant number, since it is smaller than the sum of its proper divisors (159101496).

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

81532656 is a wasteful number, since it uses less digits than its factorization.

81532656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1260 (or 1245 counting only the distinct ones).

The product of its digits is 43200, while the sum is 36.

The square root of 81532656 is about 9029.5435100563. The cubic root of 81532656 is about 433.6212230277.

The spelling of 81532656 in words is "eighty-one million, five hundred thirty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 53 54 72 81 106 108 144 159 162 212 216 318 324 424 432 477 636 648 848 954 1187 1272 1296 1431 1908 2374 2544 2862 3561 3816 4293 4748 5724 7122 7632 8586 9496 10683 11448 14244 17172 18992 21366 22896 28488 32049 34344 42732 56976 62911 64098 68688 85464 96147 125822 128196 170928 188733 192294 251644 256392 377466 384588 503288 512784 566199 754932 769176 1006576 1132398 1509864 1538352 1698597 2264796 3019728 3397194 4529592 5095791 6794388 9059184 10191582 13588776 20383164 27177552 40766328 81532656