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48047472 = 24331110111
BaseRepresentation
bin1011011101001…
…0010101110000
310100102001202000
42313102111300
544300004342
64433454000
71122253044
oct267222560
9110361660
1048047472
1125137860
1214111300
139c53775
14654a024
15434144c
hex2dd2570

48047472 has 80 divisors (see below), whose sum is σ = 150466560. Its totient is φ = 14558400.

The previous prime is 48047471. The next prime is 48047473. The reversal of 48047472 is 27474084.

48047472 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48047471) and next prime (48047473).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48047471) by changing a digit.

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, 304 + ... + 9807.

It is an arithmetic number, because the mean of its divisors is an integer number (1880832).

Almost surely, 248047472 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 48047472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75233280).

48047472 is an abundant number, since it is smaller than the sum of its proper divisors (102419088).

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

48047472 is a wasteful number, since it uses less digits than its factorization.

48047472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10139 (or 10127 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 48047472 is about 6931.6283801139. The cubic root of 48047472 is about 363.5438879089.

The spelling of 48047472 in words is "forty-eight million, forty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 1188 1584 2376 4752 10111 20222 30333 40444 60666 80888 90999 111221 121332 161776 181998 222442 242664 272997 333663 363996 444884 485328 545994 667326 727992 889768 1000989 1091988 1334652 1455984 1779536 2001978 2183976 2669304 3002967 4003956 4367952 5338608 6005934 8007912 12011868 16015824 24023736 48047472