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48596112 = 243529431
BaseRepresentation
bin1011100101100…
…0010010010000
310101102221100000
42321120102100
544420033422
64453330000
71130026425
oct271302220
9111387300
1048596112
1125481a84
1214336900
13a0b63c6
14664dd4c
1543edcac
hex2e58490

48596112 has 120 divisors (see below), whose sum is σ = 146240640. Its totient is φ = 15603840.

The previous prime is 48596089. The next prime is 48596123. The reversal of 48596112 is 21169584.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112537 + ... + 112967.

It is an arithmetic number, because the mean of its divisors is an integer number (1218672).

Almost surely, 248596112 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 48596112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73120320).

48596112 is an abundant number, since it is smaller than the sum of its proper divisors (97644528).

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

48596112 is a wasteful number, since it uses less digits than its factorization.

48596112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 465 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The square root of 48596112 is about 6971.0911627951. The cubic root of 48596112 is about 364.9223879517.

The spelling of 48596112 in words is "forty-eight million, five hundred ninety-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 36 48 54 58 72 81 87 108 116 144 162 174 216 232 243 261 324 348 431 432 464 486 522 648 696 783 862 972 1044 1293 1296 1392 1566 1724 1944 2088 2349 2586 3132 3448 3879 3888 4176 4698 5172 6264 6896 7047 7758 9396 10344 11637 12499 12528 14094 15516 18792 20688 23274 24998 28188 31032 34911 37497 37584 46548 49996 56376 62064 69822 74994 93096 99992 104733 112491 112752 139644 149988 186192 199984 209466 224982 279288 299976 337473 418932 449964 558576 599952 674946 837864 899928 1012419 1349892 1675728 1799856 2024838 2699784 3037257 4049676 5399568 6074514 8099352 12149028 16198704 24298056 48596112