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49164264 = 23323122027
BaseRepresentation
bin1011101110001…
…0111111101000
310102111210200200
42323202333220
5100041224024
64513432200
71134614022
oct273427750
9112453620
1049164264
112582a926
121456b660
13a254ba6
14675b012
1544b22c9
hex2ee2fe8

49164264 has 48 divisors (see below), whose sum is σ = 137454720. Its totient is φ = 15858720.

The previous prime is 49164263. The next prime is 49164277. The reversal of 49164264 is 46246194.

49164264 is a `hidden beast` number, since 4 + 9 + 1 + 642 + 6 + 4 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (49164263) 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, 8782 + ... + 13245.

It is an arithmetic number, because the mean of its divisors is an integer number (2863640).

Almost surely, 249164264 is an apocalyptic number.

It is an amenable number.

49164264 is an abundant number, since it is smaller than the sum of its proper divisors (88290456).

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

49164264 is a wasteful number, since it uses less digits than its factorization.

49164264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22070 (or 22063 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 49164264 is about 7011.7233259734. The cubic root of 49164264 is about 366.3390211761.

It can be divided in two parts, 4916 and 4264, that added together give a triangular number (9180 = T135).

The spelling of 49164264 in words is "forty-nine million, one hundred sixty-four thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 186 248 279 372 558 744 1116 2232 22027 44054 66081 88108 132162 176216 198243 264324 396486 528648 682837 792972 1365674 1585944 2048511 2731348 4097022 5462696 6145533 8194044 12291066 16388088 24582132 49164264