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48964976 = 24192347149
BaseRepresentation
bin1011101011001…
…0010101110000
310102010200022122
42322302111300
5100013334401
64505253412
71133124014
oct272622560
9112120278
1048964976
1125704125
1214494268
13a1b5278
146708544
15447321b
hex2eb2570

48964976 has 80 divisors (see below), whose sum is σ = 107136000. Its totient is φ = 21567744.

The previous prime is 48964967. The next prime is 48964991. The reversal of 48964976 is 67946984.

It is a happy number.

48964976 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 328550 + ... + 328698.

It is an arithmetic number, because the mean of its divisors is an integer number (1339200).

Almost surely, 248964976 is an apocalyptic number.

48964976 is a gapful number since it is divisible by the number (46) 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 48964976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53568000).

48964976 is an abundant number, since it is smaller than the sum of its proper divisors (58171024).

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

48964976 is a wasteful number, since it uses less digits than its factorization.

48964976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 246 (or 240 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 53.

The square root of 48964976 is about 6997.4978385134. The cubic root of 48964976 is about 365.8433641510.

The spelling of 48964976 in words is "forty-eight million, nine hundred sixty-four thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 19 23 38 46 47 76 92 94 149 152 184 188 298 304 368 376 437 596 752 874 893 1081 1192 1748 1786 2162 2384 2831 3427 3496 3572 4324 5662 6854 6992 7003 7144 8648 11324 13708 14006 14288 17296 20539 22648 27416 28012 41078 45296 54832 56024 65113 82156 112048 130226 133057 161069 164312 260452 266114 322138 328624 520904 532228 644276 1041808 1064456 1288552 2128912 2577104 3060311 6120622 12241244 24482488 48964976