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10472928 = 253127859
BaseRepresentation
bin100111111100…
…110111100000
3201201002011020
4213330313200
510140113203
61012245440
7155006214
oct47746740
921632136
1010472928
115a03514
123610880
132228bcb
141568944
15dbd153
hex9fcde0

10472928 has 48 divisors (see below), whose sum is σ = 27740160. Its totient is φ = 3459456.

The previous prime is 10472927. The next prime is 10472929. The reversal of 10472928 is 82927401.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10472927) and next prime (10472929).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10472921) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11763 + ... + 12621.

It is an arithmetic number, because the mean of its divisors is an integer number (577920).

Almost surely, 210472928 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 10472928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13870080).

10472928 is an abundant number, since it is smaller than the sum of its proper divisors (17267232).

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

10472928 is a wasteful number, since it uses less digits than its factorization.

10472928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 999 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 10472928 is about 3236.1903528686. The cubic root of 10472928 is about 218.7876008290.

The spelling of 10472928 in words is "ten million, four hundred seventy-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 127 254 381 508 762 859 1016 1524 1718 2032 2577 3048 3436 4064 5154 6096 6872 10308 12192 13744 20616 27488 41232 82464 109093 218186 327279 436372 654558 872744 1309116 1745488 2618232 3490976 5236464 10472928