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90072957 = 3132838161
BaseRepresentation
bin1010101111001…
…10011101111101
320021111011212110
411113212131331
5141024313312
612534324233
72142415242
oct527463575
9207434773
1090072957
1146931167
12261b9679
1315879210
14bd695c9
157d9343c
hex55e677d

90072957 has 16 divisors (see below), whose sum is σ = 129808448. Its totient is φ = 55226880.

The previous prime is 90072947. The next prime is 90072959. The reversal of 90072957 is 75927009.

It is a de Polignac number, because none of the positive numbers 2k-90072957 is a prime.

It is a super-2 number, since 2×900729572 = 16226275165447698, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90072959) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6957 + ... + 15117.

It is an arithmetic number, because the mean of its divisors is an integer number (8113028).

Almost surely, 290072957 is an apocalyptic number.

It is an amenable number.

90072957 is a deficient number, since it is larger than the sum of its proper divisors (39735491).

90072957 is a wasteful number, since it uses less digits than its factorization.

90072957 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8460.

The product of its (nonzero) digits is 39690, while the sum is 39.

The square root of 90072957 is about 9490.6773730857. The cubic root of 90072957 is about 448.2615344855.

The spelling of 90072957 in words is "ninety million, seventy-two thousand, nine hundred fifty-seven".

Divisors: 1 3 13 39 283 849 3679 8161 11037 24483 106093 318279 2309563 6928689 30024319 90072957