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47228928 = 21137687
BaseRepresentation
bin1011010000101…
…0100000000000
310021212110220120
42310022200000
544042311203
64404140240
71112303445
oct264124000
9107773816
1047228928
112472887a
1213997680
139a28016
1463b59cc
15422db53
hex2d0a800

47228928 has 48 divisors (see below), whose sum is σ = 125929440. Its totient is φ = 15740928.

The previous prime is 47228917. The next prime is 47228933. The reversal of 47228928 is 82982274.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 47228928.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2301 + ... + 9987.

It is an arithmetic number, because the mean of its divisors is an integer number (2623530).

Almost surely, 247228928 is an apocalyptic number.

47228928 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 47228928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62964720).

47228928 is an abundant number, since it is smaller than the sum of its proper divisors (78700512).

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

47228928 is an equidigital number, since it uses as much as digits as its factorization.

47228928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7712 (or 7692 counting only the distinct ones).

The product of its digits is 129024, while the sum is 42.

The square root of 47228928 is about 6872.3306090438. The cubic root of 47228928 is about 361.4675892883.

The spelling of 47228928 in words is "forty-seven million, two hundred twenty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 6144 7687 15374 23061 30748 46122 61496 92244 122992 184488 245984 368976 491968 737952 983936 1475904 1967872 2951808 3935744 5903616 7871488 11807232 15742976 23614464 47228928