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97520742 = 23211539293
BaseRepresentation
bin1011101000000…
…00110001100110
320210111120022100
411310000301212
5144431130432
613402112530
72262625014
oct564006146
9223446270
1097520742
1150058860
12287ab746
13172861a7
14cd478b4
15886507c
hex5d00c66

97520742 has 48 divisors (see below), whose sum is σ = 234877968. Its totient is φ = 28991040.

The previous prime is 97520741. The next prime is 97520743. The reversal of 97520742 is 24702579.

97520742 is a `hidden beast` number, since 97 + 520 + 7 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (97520741) and next prime (97520743).

It is a junction number, because it is equal to n+sod(n) for n = 97520697 and 97520706.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (97520741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5848 + ... + 15140.

It is an arithmetic number, because the mean of its divisors is an integer number (4893291).

Almost surely, 297520742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97520742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117438984).

97520742 is an abundant number, since it is smaller than the sum of its proper divisors (137357226).

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

97520742 is a wasteful number, since it uses less digits than its factorization.

97520742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9365 (or 9362 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 97520742 is about 9875.2590852089. The cubic root of 97520742 is about 460.2908400190.

The spelling of 97520742 in words is "ninety-seven million, five hundred twenty thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 159 198 318 477 583 954 1166 1749 3498 5247 9293 10494 18586 27879 55758 83637 102223 167274 204446 306669 492529 613338 920007 985058 1477587 1840014 2955174 4432761 5417819 8865522 10835638 16253457 32506914 48760371 97520742