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49644072 = 23322412861
BaseRepresentation
bin1011110101100…
…0001000101000
310110102011212100
42331120020220
5100202102242
64532013400
71141652622
oct275301050
9113364770
1049644072
1126028365
1214761260
13a3923ba
146843c12
15455954c
hex2f58228

49644072 has 48 divisors (see below), whose sum is σ = 135057780. Its totient is φ = 16473600.

The previous prime is 49644053. The next prime is 49644103. The reversal of 49644072 is 27044694.

49644072 is a `hidden beast` number, since 4 + 9 + 644 + 0 + 7 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 48358116 + 1285956 = 6954^2 + 1134^2 .

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 15922 + ... + 18782.

Almost surely, 249644072 is an apocalyptic number.

It is an amenable number.

49644072 is an abundant number, since it is smaller than the sum of its proper divisors (85413708).

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

49644072 is a wasteful number, since it uses less digits than its factorization.

49644072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3114 (or 3107 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 49644072 is about 7045.8549516719. The cubic root of 49644072 is about 367.5269007103.

The spelling of 49644072 in words is "forty-nine million, six hundred forty-four thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 241 482 723 964 1446 1928 2169 2861 2892 4338 5722 5784 8583 8676 11444 17166 17352 22888 25749 34332 51498 68664 102996 205992 689501 1379002 2068503 2758004 4137006 5516008 6205509 8274012 12411018 16548024 24822036 49644072