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42772392 = 23321345697
BaseRepresentation
bin1010001100101…
…0011110101000
32222111001200200
42203022132220
541422204032
64124432200
71026362565
oct243123650
988431620
1042772392
1122164593
12123a8660
138b27710
14597586c
153b4d47c
hex28ca7a8

42772392 has 48 divisors (see below), whose sum is σ = 124755540. Its totient is φ = 13160448.

The previous prime is 42772381. The next prime is 42772399. The reversal of 42772392 is 29327724.

It can be written as a sum of positive squares in 2 ways, for example, as 39765636 + 3006756 = 6306^2 + 1734^2 .

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

It is not an unprimeable number, because it can be changed into a prime (42772399) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 21913 + ... + 23784.

Almost surely, 242772392 is an apocalyptic number.

It is an amenable number.

42772392 is an abundant number, since it is smaller than the sum of its proper divisors (81983148).

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

42772392 is a wasteful number, since it uses less digits than its factorization.

42772392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45722 (or 45715 counting only the distinct ones).

The product of its digits is 42336, while the sum is 36.

The square root of 42772392 is about 6540.0605501784. The cubic root of 42772392 is about 349.7205715307.

The spelling of 42772392 in words is "forty-two million, seven hundred seventy-two thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 45697 91394 137091 182788 274182 365576 411273 548364 594061 822546 1096728 1188122 1645092 1782183 2376244 3290184 3564366 4752488 5346549 7128732 10693098 14257464 21386196 42772392