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49294272 = 263733517
BaseRepresentation
bin1011110000001…
…0101111000000
310102202102000210
42330002233000
5100104404042
64520314120
71135665036
oct274025700
9112672023
1049294272
1125909575
1214612940
13a29c111
146792556
1544daa9c
hex2f02bc0

49294272 has 56 divisors (see below), whose sum is σ = 132248656. Its totient is φ = 16201728.

The previous prime is 49294243. The next prime is 49294277. The reversal of 49294272 is 27249294.

It is a self number, because there is not a number n which added to its sum of digits gives 49294272.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49294277) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 12258 + ... + 15774.

Almost surely, 249294272 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 49294272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66124328).

49294272 is an abundant number, since it is smaller than the sum of its proper divisors (82954384).

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

49294272 is a wasteful number, since it uses less digits than its factorization.

49294272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3605 (or 3595 counting only the distinct ones).

The product of its digits is 72576, while the sum is 39.

The square root of 49294272 is about 7020.9879646671. The cubic root of 49294272 is about 366.6616476815.

The spelling of 49294272 in words is "forty-nine million, two hundred ninety-four thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 146 192 219 292 438 584 876 1168 1752 2336 3504 3517 4672 7008 7034 10551 14016 14068 21102 28136 42204 56272 84408 112544 168816 225088 256741 337632 513482 675264 770223 1026964 1540446 2053928 3080892 4107856 6161784 8215712 12323568 16431424 24647136 49294272