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97266996 = 22321729349
BaseRepresentation
bin1011100110000…
…10110100110100
320210000200020100
411303002310310
5144400020441
613352434100
72260520151
oct563026464
9223020210
1097266996
114a9a5152
12286a8930
13171c7848
14ccbd228
158814cb6
hex5cc2d34

97266996 has 54 divisors (see below), whose sum is σ = 261210950. Its totient is φ = 30511872.

The previous prime is 97266971. The next prime is 97267007. The reversal of 97266996 is 69966279.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 59074596 + 38192400 = 7686^2 + 6180^2 .

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 17 ways as a sum of consecutive naturals, for example, 5730 + ... + 15078.

Almost surely, 297266996 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 97266996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130605475).

97266996 is an abundant number, since it is smaller than the sum of its proper divisors (163943954).

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

97266996 is a wasteful number, since it uses less digits than its factorization.

97266996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9393 (or 9371 counting only the distinct ones).

The product of its digits is 2204496, while the sum is 54.

The square root of 97266996 is about 9862.4031554181. The cubic root of 97266996 is about 459.8912723493.

Subtracting from 97266996 its product of digits (2204496), we obtain a square (95062500 = 97502).

The spelling of 97266996 in words is "ninety-seven million, two hundred sixty-six thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 5202 9349 10404 18698 28047 37396 56094 84141 112188 158933 168282 317866 336564 476799 635732 953598 1430397 1907196 2701861 2860794 5403722 5721588 8105583 10807444 16211166 24316749 32422332 48633498 97266996