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155742264 = 2334317753
BaseRepresentation
bin10010100100001…
…11000000111000
3101212001112020000
421102013000320
5304332223024
623242033000
73600534036
oct1122070070
9355045200
10155742264
117aa04517
12441a8760
132635c7b2
1416981556
15da15cc9
hex9487038

155742264 has 80 divisors (see below), whose sum is σ = 450352320. Its totient is φ = 50232960.

The previous prime is 155742247. The next prime is 155742271. The reversal of 155742264 is 462247551.

It is a happy number.

155742264 is a `hidden beast` number, since 1 + 5 + 574 + 22 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16212 + ... + 23964.

It is an arithmetic number, because the mean of its divisors is an integer number (5629404).

Almost surely, 2155742264 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 155742264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225176160).

155742264 is an abundant number, since it is smaller than the sum of its proper divisors (294610056).

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

155742264 is a wasteful number, since it uses less digits than its factorization.

155742264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7802 (or 7789 counting only the distinct ones).

The product of its digits is 67200, while the sum is 36.

The square root of 155742264 is about 12479.6740342046. The cubic root of 155742264 is about 538.0246346104.

The spelling of 155742264 in words is "one hundred fifty-five million, seven hundred forty-two thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 248 279 324 372 558 648 744 837 1116 1674 2232 2511 3348 5022 6696 7753 10044 15506 20088 23259 31012 46518 62024 69777 93036 139554 186072 209331 240343 279108 418662 480686 558216 627993 721029 837324 961372 1255986 1442058 1674648 1922744 2163087 2511972 2884116 4326174 5023944 5768232 6489261 8652348 12978522 17304696 19467783 25957044 38935566 51914088 77871132 155742264