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97631232 = 210361521
BaseRepresentation
bin1011101000110…
…11110000000000
320210201011212120
411310123300000
5144443144412
613404324240
72263565106
oct564336000
9223634776
1097631232
1150123876
1228843680
13172c457a
14cd75c76
158887b8c
hex5d1bc00

97631232 has 88 divisors (see below), whose sum is σ = 264996432. Its totient is φ = 31948800.

The previous prime is 97631213. The next prime is 97631239. The reversal of 97631232 is 23213679.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 97631193 and 97631202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97631239) 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 7 ways as a sum of consecutive naturals, for example, 187132 + ... + 187652.

Almost surely, 297631232 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 97631232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132498216).

97631232 is an abundant number, since it is smaller than the sum of its proper divisors (167365200).

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

97631232 is a wasteful number, since it uses less digits than its factorization.

97631232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 587 counting only the distinct ones).

The product of its digits is 13608, while the sum is 33.

The square root of 97631232 is about 9880.8517851448. The cubic root of 97631232 is about 460.4646093421.

The spelling of 97631232 in words is "ninety-seven million, six hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 512 521 732 768 976 1024 1042 1464 1536 1563 1952 2084 2928 3072 3126 3904 4168 5856 6252 7808 8336 11712 12504 15616 16672 23424 25008 31232 31781 33344 46848 50016 62464 63562 66688 93696 95343 100032 127124 133376 187392 190686 200064 254248 266752 381372 400128 508496 533504 762744 800256 1016992 1525488 1600512 2033984 3050976 4067968 6101952 8135936 12203904 16271872 24407808 32543744 48815616 97631232