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47630976 = 273235393
BaseRepresentation
bin1011010110110…
…0101010000000
310022121220102020
42311230222000
544143142401
64420521440
71115566551
oct265545200
9108556366
1047630976
1124982948
1213b50280
139b39013
14647c328
1542acd36
hex2d6ca80

47630976 has 64 divisors (see below), whose sum is σ = 132045120. Its totient is φ = 15183872.

The previous prime is 47630939. The next prime is 47630983. The reversal of 47630976 is 67903674.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 7 ways as a sum of consecutive naturals, for example, 6136 + ... + 11528.

It is an arithmetic number, because the mean of its divisors is an integer number (2063205).

Almost surely, 247630976 is an apocalyptic number.

47630976 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 47630976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66022560).

47630976 is an abundant number, since it is smaller than the sum of its proper divisors (84414144).

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

47630976 is a wasteful number, since it uses less digits than its factorization.

47630976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5433 (or 5421 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 42.

The square root of 47630976 is about 6901.5198326166. The cubic root of 47630976 is about 362.4903867447.

The spelling of 47630976 in words is "forty-seven million, six hundred thirty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 368 384 552 736 1104 1472 2208 2944 4416 5393 8832 10786 16179 21572 32358 43144 64716 86288 124039 129432 172576 248078 258864 345152 372117 496156 517728 690304 744234 992312 1035456 1488468 1984624 2070912 2976936 3969248 5953872 7938496 11907744 15876992 23815488 47630976