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49955808 = 253779941
BaseRepresentation
bin1011111010010…
…0001111100000
310111000000111010
42332210033200
5100242041213
64542420520
71144421520
oct276441740
9114000433
1049955808
11262205a1
1214891740
13a471266
1468c5680
1545bbac3
hex2fa43e0

49955808 has 96 divisors (see below), whose sum is σ = 151925760. Its totient is φ = 14077440.

The previous prime is 49955797. The next prime is 49955821. The reversal of 49955808 is 80855994.

It is a happy number.

49955808 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52618 + ... + 53558.

It is an arithmetic number, because the mean of its divisors is an integer number (1582560).

Almost surely, 249955808 is an apocalyptic number.

49955808 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49955808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75962880).

49955808 is an abundant number, since it is smaller than the sum of its proper divisors (101969952).

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

49955808 is a wasteful number, since it uses less digits than its factorization.

49955808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1040 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The square root of 49955808 is about 7067.9422748067. The cubic root of 49955808 is about 368.2945813920.

The spelling of 49955808 in words is "forty-nine million, nine hundred fifty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 79 84 96 112 158 168 224 237 316 336 474 553 632 672 941 948 1106 1264 1659 1882 1896 2212 2528 2823 3318 3764 3792 4424 5646 6587 6636 7528 7584 8848 11292 13174 13272 15056 17696 19761 22584 26348 26544 30112 39522 45168 52696 53088 74339 79044 90336 105392 148678 158088 210784 223017 297356 316176 446034 520373 594712 632352 892068 1040746 1189424 1561119 1784136 2081492 2378848 3122238 3568272 4162984 6244476 7136544 8325968 12488952 16651936 24977904 49955808