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48045816 = 23327137333
BaseRepresentation
bin1011011101000…
…1111011111000
310100101222110200
42313101323320
544244431231
64433442200
71122245160
oct267217370
9110358420
1048045816
1125136595
1214110360
139c52aa0
1465495a0
154340be6
hex2dd1ef8

48045816 has 96 divisors (see below), whose sum is σ = 160174560. Its totient is φ = 12669696.

The previous prime is 48045773. The next prime is 48045817. The reversal of 48045816 is 61854084.

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

It is a zygodrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48045817) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2886 + ... + 10218.

It is an arithmetic number, because the mean of its divisors is an integer number (1668485).

Almost surely, 248045816 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 48045816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80087280).

48045816 is an abundant number, since it is smaller than the sum of its proper divisors (112128744).

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

48045816 is a wasteful number, since it uses less digits than its factorization.

48045816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7365 (or 7358 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 48045816 is about 6931.5089266335. The cubic root of 48045816 is about 363.5397112369.

The spelling of 48045816 in words is "forty-eight million, forty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 18 21 24 26 28 36 39 42 52 56 63 72 78 84 91 104 117 126 156 168 182 234 252 273 312 364 468 504 546 728 819 936 1092 1638 2184 3276 6552 7333 14666 21999 29332 43998 51331 58664 65997 87996 95329 102662 131994 153993 175992 190658 205324 263988 285987 307986 381316 410648 461979 527976 571974 615972 667303 762632 857961 923958 1143948 1231944 1334606 1715922 1847916 2001909 2287896 2669212 3431844 3695832 4003818 5338424 6005727 6863688 8007636 12011454 16015272 24022908 48045816