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48475072 = 263153461
BaseRepresentation
bin1011100011101…
…0101111000000
310101012210022001
42320322233000
544402200242
64450553344
71126013512
oct270725700
9111183261
1048475072
11253aa048
1214298854
13a073299
14661bbb2
1543c7eb7
hex2e3abc0

48475072 has 56 divisors (see below), whose sum is σ = 101388672. Its totient is φ = 22963200.

The previous prime is 48475057. The next prime is 48475081. The reversal of 48475072 is 27057484.

48475072 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 7 ways as a sum of consecutive naturals, for example, 104922 + ... + 105382.

It is an arithmetic number, because the mean of its divisors is an integer number (1810512).

Almost surely, 248475072 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 48475072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50694336).

48475072 is an abundant number, since it is smaller than the sum of its proper divisors (52913600).

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

48475072 is a wasteful number, since it uses less digits than its factorization.

48475072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 547 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 37.

The square root of 48475072 is about 6962.4041824646. The cubic root of 48475072 is about 364.6191611644.

The spelling of 48475072 in words is "forty-eight million, four hundred seventy-five thousand, seventy-two".

Divisors: 1 2 4 8 16 31 32 53 62 64 106 124 212 248 424 461 496 848 922 992 1643 1696 1844 1984 3286 3392 3688 6572 7376 13144 14291 14752 24433 26288 28582 29504 48866 52576 57164 97732 105152 114328 195464 228656 390928 457312 757423 781856 914624 1514846 1563712 3029692 6059384 12118768 24237536 48475072