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81977896 = 237111329353
BaseRepresentation
bin1001110001011…
…10001000101000
312201020220112101
410320232020220
5131441243041
612045023144
72013541420
oct470561050
9181226471
1081977896
1142302230
1223554ab4
1313ca3740
14ac5d480
1572e4b31
hex4e2e228

81977896 has 128 divisors (see below), whose sum is σ = 214099200. Its totient is φ = 28385280.

The previous prime is 81977887. The next prime is 81977897. The reversal of 81977896 is 69877918.

It is not an unprimeable number, because it can be changed into a prime (81977897) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 232056 + ... + 232408.

It is an arithmetic number, because the mean of its divisors is an integer number (1672650).

Almost surely, 281977896 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 81977896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107049600).

81977896 is an abundant number, since it is smaller than the sum of its proper divisors (132121304).

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

81977896 is a wasteful number, since it uses less digits than its factorization.

81977896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 415 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 55.

The square root of 81977896 is about 9054.1645666511. The cubic root of 81977896 is about 434.4091083131.

The spelling of 81977896 in words is "eighty-one million, nine hundred seventy-seven thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 29 44 52 56 58 77 88 91 104 116 143 154 182 203 232 286 308 319 353 364 377 406 572 616 638 706 728 754 812 1001 1144 1276 1412 1508 1624 2002 2233 2471 2552 2639 2824 3016 3883 4004 4147 4466 4589 4942 5278 7766 8008 8294 8932 9178 9884 10237 10556 15532 16588 17864 18356 19768 20474 21112 27181 29029 31064 32123 33176 36712 40948 50479 54362 58058 64246 71659 81896 100958 108724 112607 116116 128492 133081 143318 201916 217448 225214 232232 256984 266162 286636 353353 403832 450428 532324 573272 706706 788249 900856 931567 1064648 1413412 1463891 1576498 1863134 2826824 2927782 3152996 3726268 5855564 6305992 7452536 10247237 11711128 20494474 40988948 81977896