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97440642 = 23213416413
BaseRepresentation
bin1011100111011…
…01001110000010
320210100111102200
411303231032002
5144421100032
613400254030
72262142335
oct563551602
9223314380
1097440642
1150003662
1228771316
13172588b0
14cd2661c
15884b47c
hex5ced382

97440642 has 24 divisors (see below), whose sum is σ = 227362044. Its totient is φ = 29981664.

The previous prime is 97440599. The next prime is 97440643. The reversal of 97440642 is 24604479.

97440642 is a `hidden beast` number, since 9 + 7 + 4 + 4 + 0 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 80622441 + 16818201 = 8979^2 + 4101^2 .

It is a junction number, because it is equal to n+sod(n) for n = 97440597 and 97440606.

It is not an unprimeable number, because it can be changed into a prime (97440643) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 207973 + ... + 208440.

Almost surely, 297440642 is an apocalyptic number.

97440642 is an abundant number, since it is smaller than the sum of its proper divisors (129921402).

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

97440642 is a wasteful number, since it uses less digits than its factorization.

97440642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416434 (or 416431 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 97440642 is about 9871.2026622899. The cubic root of 97440642 is about 460.1647834335.

It can be divided in two parts, 974 and 40642, that added together give a triangular number (41616 = T288).

The spelling of 97440642 in words is "ninety-seven million, four hundred forty thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 117 234 416413 832826 1249239 2498478 3747717 5413369 7495434 10826738 16240107 32480214 48720321 97440642