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95018742 = 23272138287
BaseRepresentation
bin1011010100111…
…01111011110110
320121210110012200
411222131323312
5143311044432
613232325330
72232434400
oct552357366
9217713180
1095018742
11496a9a95
12279a3846
13168bb410
14c895b70
15851da7c
hex5a9def6

95018742 has 72 divisors (see below), whose sum is σ = 257939136. Its totient is φ = 25056864.

The previous prime is 95018699. The next prime is 95018779. The reversal of 95018742 is 24781059.

It is a super-2 number, since 2×950187422 = 18057122662525128, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 95018697 and 95018706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7323 + ... + 15609.

It is an arithmetic number, because the mean of its divisors is an integer number (3582488).

Almost surely, 295018742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95018742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128969568).

95018742 is an abundant number, since it is smaller than the sum of its proper divisors (162920394).

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

95018742 is a wasteful number, since it uses less digits than its factorization.

95018742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8322 (or 8312 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 95018742 is about 9747.7557417079. The cubic root of 95018742 is about 456.3202678538.

The spelling of 95018742 in words is "ninety-five million, eighteen thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 49 63 78 91 98 117 126 147 182 234 273 294 441 546 637 819 882 1274 1638 1911 3822 5733 8287 11466 16574 24861 49722 58009 74583 107731 116018 149166 174027 215462 323193 348054 406063 522081 646386 754117 812126 969579 1044162 1218189 1508234 1939158 2262351 2436378 3654567 4524702 5278819 6787053 7309134 10557638 13574106 15836457 31672914 47509371 95018742