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1252157742 = 232117980051
BaseRepresentation
bin100101010100010…
…0110100100101110
310020021011012111200
41022220212210232
510031023021432
6324130030330
743013110443
oct11250464456
93207135450
101252157742
115928a0710
122ab4183a6
1316c556a54
14bc4299ca
1574ddea7c
hex4aa2692e

1252157742 has 48 divisors (see below), whose sum is σ = 2997146880. Its totient is φ = 374634000.

The previous prime is 1252157681. The next prime is 1252157759. The reversal of 1252157742 is 2477512521.

1252157742 is a `hidden beast` number, since 1 + 25 + 21 + 577 + 42 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1252157697 and 1252157706.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24384 + ... + 55667.

It is an arithmetic number, because the mean of its divisors is an integer number (62440560).

Almost surely, 21252157742 is an apocalyptic number.

1252157742 is an abundant number, since it is smaller than the sum of its proper divisors (1744989138).

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

1252157742 is a wasteful number, since it uses less digits than its factorization.

1252157742 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80149 (or 80146 counting only the distinct ones).

The product of its digits is 39200, while the sum is 36.

The square root of 1252157742 is about 35385.8409819521. The cubic root of 1252157742 is about 1077.8368172718.

The spelling of 1252157742 in words is "one billion, two hundred fifty-two million, one hundred fifty-seven thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 79 99 158 198 237 474 711 869 1422 1738 2607 5214 7821 15642 80051 160102 240153 480306 720459 880561 1440918 1761122 2641683 5283366 6324029 7925049 12648058 15850098 18972087 37944174 56916261 69564319 113832522 139128638 208692957 417385914 626078871 1252157742