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97542216 = 23321578629
BaseRepresentation
bin1011101000001…
…10000001001000
320210112122202200
411310012001020
5144432322331
613402400200
72263044432
oct564060110
9223478680
1097542216
1150072a02
1228800060
1317292bb5
14cd51652
15886b5e6
hex5d06048

97542216 has 48 divisors (see below), whose sum is σ = 265890300. Its totient is φ = 32303232.

The previous prime is 97542199. The next prime is 97542227. The reversal of 97542216 is 61224579.

97542216 is a `hidden beast` number, since 97 + 542 + 21 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 97416900 + 125316 = 9870^2 + 354^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6990 + ... + 15618.

Almost surely, 297542216 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 97542216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132945150).

97542216 is an abundant number, since it is smaller than the sum of its proper divisors (168348084).

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

97542216 is a wasteful number, since it uses less digits than its factorization.

97542216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8798 (or 8791 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 97542216 is about 9876.3462879751. The cubic root of 97542216 is about 460.3246227811.

The spelling of 97542216 in words is "ninety-seven million, five hundred forty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 157 314 471 628 942 1256 1413 1884 2826 3768 5652 8629 11304 17258 25887 34516 51774 69032 77661 103548 155322 207096 310644 621288 1354753 2709506 4064259 5419012 8128518 10838024 12192777 16257036 24385554 32514072 48771108 97542216