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49957056 = 2632432017
BaseRepresentation
bin1011111010010…
…0100011000000
310111000002012100
42332210203000
5100242111211
64542430400
71144425252
oct276444300
9114002170
1049957056
1126221526
1214892400
13a4719b6
1468c5cd2
1545bc156
hex2fa48c0

49957056 has 84 divisors (see below), whose sum is σ = 146595592. Its totient is φ = 16257024.

The previous prime is 49957051. The next prime is 49957057. The reversal of 49957056 is 65075994.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (49957051) 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 11 ways as a sum of consecutive naturals, for example, 23760 + ... + 25776.

Almost surely, 249957056 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 49957056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73297796).

49957056 is an abundant number, since it is smaller than the sum of its proper divisors (96638536).

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

49957056 is a wasteful number, since it uses less digits than its factorization.

49957056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2078 (or 2065 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The square root of 49957056 is about 7068.0305602056. The cubic root of 49957056 is about 368.2976482881.

The spelling of 49957056 in words is "forty-nine million, nine hundred fifty-seven thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 129 144 172 192 258 288 344 387 516 576 688 774 1032 1376 1548 2017 2064 2752 3096 4034 4128 6051 6192 8068 8256 12102 12384 16136 18153 24204 24768 32272 36306 48408 64544 72612 86731 96816 129088 145224 173462 193632 260193 290448 346924 387264 520386 580896 693848 780579 1040772 1161792 1387696 1561158 2081544 2775392 3122316 4163088 5550784 6244632 8326176 12489264 16652352 24978528 49957056