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97890372 = 2232731932
BaseRepresentation
bin1011101010110…
…11000001000100
320211012100100100
411311123001010
5200024442442
613414044100
72266024446
oct565330104
9224170310
1097890372
1150290538
1228949630
13173854c8
14d002496
1588d984c
hex5d5b044

97890372 has 54 divisors (see below), whose sum is σ = 252141162. Its totient is φ = 32016384.

The previous prime is 97890367. The next prime is 97890389. The reversal of 97890372 is 27309879.

It can be written as a sum of positive squares in 3 ways, for example, as 2359296 + 95531076 = 1536^2 + 9774^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 507108 + ... + 507300.

Almost surely, 297890372 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 97890372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126070581).

97890372 is an abundant number, since it is smaller than the sum of its proper divisors (154250790).

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

97890372 is a wasteful number, since it uses less digits than its factorization.

97890372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 469 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The square root of 97890372 is about 9893.9563370777. The cubic root of 97890372 is about 460.8716491055.

The spelling of 97890372 in words is "ninety-seven million, eight hundred ninety thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 193 219 292 386 438 579 657 772 876 1158 1314 1737 2316 2628 3474 6948 14089 28178 37249 42267 56356 74498 84534 111747 126801 148996 169068 223494 253602 335241 446988 507204 670482 1340964 2719177 5438354 8157531 10876708 16315062 24472593 32630124 48945186 97890372