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97881012 = 223231229383
BaseRepresentation
bin1011101010110…
…00101110110100
320211011212111200
411311120232310
5200024143022
613413532500
72265655245
oct565305664
9224155450
1097881012
11502844a9
1228944130
1317381178
14cddcccc
1588d6bac
hex5d58bb4

97881012 has 72 divisors (see below), whose sum is σ = 257187840. Its totient is φ = 31354560.

The previous prime is 97880977. The next prime is 97881013. The reversal of 97881012 is 21018879.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97881013) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 255373 + ... + 255755.

Almost surely, 297881012 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 97881012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128593920).

97881012 is an abundant number, since it is smaller than the sum of its proper divisors (159306828).

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

97881012 is a wasteful number, since it uses less digits than its factorization.

97881012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653 (or 648 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

The square root of 97881012 is about 9893.4833097347. The cubic root of 97881012 is about 460.8569595569.

The spelling of 97881012 in words is "ninety-seven million, eight hundred eighty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 229 279 372 383 458 558 687 766 916 1116 1149 1374 1532 2061 2298 2748 3447 4122 4596 6894 7099 8244 11873 13788 14198 21297 23746 28396 35619 42594 47492 63891 71238 85188 87707 106857 127782 142476 175414 213714 255564 263121 350828 427428 526242 789363 1052484 1578726 2718917 3157452 5437834 8156751 10875668 16313502 24470253 32627004 48940506 97881012