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97070496 = 2531039817
BaseRepresentation
bin1011100100100…
…10110110100000
320202122200200120
411302102312200
5144322223441
613344320240
72256041235
oct562226640
9222580616
1097070496
114a880556
1228613080
1317159283
14cc6b78c
1587c6966
hex5c92da0

97070496 has 48 divisors (see below), whose sum is σ = 257310144. Its totient is φ = 32039424.

The previous prime is 97070489. The next prime is 97070513. The reversal of 97070496 is 69407079.

97070496 is nontrivially palindromic in base 5.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Smith number, since the sum of its digits (42) 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 7 ways as a sum of consecutive naturals, for example, 4980 + ... + 14796.

It is an arithmetic number, because the mean of its divisors is an integer number (5360628).

Almost surely, 297070496 is an apocalyptic number.

97070496 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97070496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128655072).

97070496 is an abundant number, since it is smaller than the sum of its proper divisors (160239648).

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

97070496 is a wasteful number, since it uses less digits than its factorization.

97070496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9933 (or 9925 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The square root of 97070496 is about 9852.4360439436. The cubic root of 97070496 is about 459.5813708694.

The spelling of 97070496 in words is "ninety-seven million, seventy thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 103 206 309 412 618 824 1236 1648 2472 3296 4944 9817 9888 19634 29451 39268 58902 78536 117804 157072 235608 314144 471216 942432 1011151 2022302 3033453 4044604 6066906 8089208 12133812 16178416 24267624 32356832 48535248 97070496