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48047328 = 2532723833
BaseRepresentation
bin1011011101001…
…0010011100000
310100102001112200
42313102103200
544300003303
64433453200
71122252450
oct267222340
9110361480
1048047328
112513773a
1214111200
139c53694
146549d60
1543413a3
hex2dd24e0

48047328 has 72 divisors (see below), whose sum is σ = 156160368. Its totient is φ = 13727232.

The previous prime is 48047317. The next prime is 48047339. The reversal of 48047328 is 82374084.

It is an interprime number because it is at equal distance from previous prime (48047317) and next prime (48047339).

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 48047292 and 48047301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9901 + ... + 13932.

It is an arithmetic number, because the mean of its divisors is an integer number (2168894).

Almost surely, 248047328 is an apocalyptic number.

48047328 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48047328 is an abundant number, since it is smaller than the sum of its proper divisors (108113040).

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

48047328 is a wasteful number, since it uses less digits than its factorization.

48047328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23856 (or 23845 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 48047328 is about 6931.6179929364. The cubic root of 48047328 is about 363.5435247238.

The spelling of 48047328 in words is "forty-eight million, forty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 2016 23833 47666 71499 95332 142998 166831 190664 214497 285996 333662 381328 428994 500493 571992 667324 762656 857988 1000986 1143984 1334648 1501479 1715976 2001972 2287968 2669296 3002958 3431952 4003944 5338592 6005916 6863904 8007888 12011832 16015776 24023664 48047328