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81125388 = 22343141197
BaseRepresentation
bin1001101010111…
…10000000001100
312122122121010000
410311132000030
5131232003023
612014444300
72003361111
oct465360014
9178577100
1081125388
114187a783
1223203690
1313a656b6
14aaba908
1571c7243
hex4d5e00c

81125388 has 120 divisors (see below), whose sum is σ = 225396864. Its totient is φ = 25401600.

The previous prime is 81125371. The next prime is 81125449. The reversal of 81125388 is 88352118.

81125388 is a `hidden beast` number, since 8 + 112 + 538 + 8 = 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 39 ways as a sum of consecutive naturals, for example, 411706 + ... + 411902.

Almost surely, 281125388 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 81125388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112698432).

81125388 is an abundant number, since it is smaller than the sum of its proper divisors (144271476).

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

81125388 is a wasteful number, since it uses less digits than its factorization.

81125388 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 274 counting only the distinct ones).

The product of its digits is 15360, while the sum is 36.

The square root of 81125388 is about 9006.9633062426. The cubic root of 81125388 is about 432.8980162224.

The spelling of 81125388 in words is "eighty-one million, one hundred twenty-five thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 41 54 62 81 82 93 108 123 124 162 164 186 197 246 279 324 369 372 394 492 558 591 738 788 837 1107 1116 1182 1271 1476 1674 1773 2214 2364 2511 2542 3321 3348 3546 3813 4428 5022 5084 5319 6107 6642 7092 7626 8077 10044 10638 11439 12214 13284 15252 15957 16154 18321 21276 22878 24231 24428 31914 32308 34317 36642 45756 48462 54963 63828 68634 72693 73284 96924 102951 109926 137268 145386 164889 205902 218079 219852 250387 290772 329778 411804 436158 494667 500774 654237 659556 751161 872316 989334 1001548 1308474 1502322 1978668 2253483 2616948 3004644 4506966 6760449 9013932 13520898 20281347 27041796 40562694 81125388