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97623396 = 223213297193
BaseRepresentation
bin1011101000110…
…01110101100100
320210200210010100
411310121311210
5144442422041
613404224100
72263533213
oct564316544
9223623110
1097623396
11501189a2
122883b030
13172c0b30
14cd7307a
1588856b6
hex5d19d64

97623396 has 72 divisors (see below), whose sum is σ = 274954680. Its totient is φ = 28998144.

The previous prime is 97623377. The next prime is 97623413. The reversal of 97623396 is 69332679.

It can be written as a sum of positive squares in 4 ways, for example, as 324900 + 97298496 = 570^2 + 9864^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9976 + ... + 17168.

It is an arithmetic number, because the mean of its divisors is an integer number (3818815).

Almost surely, 297623396 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 97623396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137477340).

97623396 is an abundant number, since it is smaller than the sum of its proper divisors (177331284).

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

97623396 is a wasteful number, since it uses less digits than its factorization.

97623396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7245 (or 7240 counting only the distinct ones).

The product of its digits is 367416, while the sum is 45.

The square root of 97623396 is about 9880.4552526693. The cubic root of 97623396 is about 460.4522898649.

The spelling of 97623396 in words is "ninety-seven million, six hundred twenty-three thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 29 36 39 52 58 78 87 116 117 156 174 234 261 348 377 468 522 754 1044 1131 1508 2262 3393 4524 6786 7193 13572 14386 21579 28772 43158 64737 86316 93509 129474 187018 208597 258948 280527 374036 417194 561054 625791 834388 841581 1122108 1251582 1683162 1877373 2503164 2711761 3366324 3754746 5423522 7509492 8135283 10847044 16270566 24405849 32541132 48811698 97623396