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48735216 = 2433373049
BaseRepresentation
bin1011100111101…
…0001111110000
310101201000011000
42321322033300
544434011331
64500322000
71131146115
oct271721760
9111630130
1048735216
1125567542
12143a3300
13a13480a
14668890c
15442a0e6
hex2e7a3f0

48735216 has 80 divisors (see below), whose sum is σ = 143716000. Its totient is φ = 15800832.

The previous prime is 48735191. The next prime is 48735233. The reversal of 48735216 is 61253784.

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 15 ways as a sum of consecutive naturals, for example, 14460 + ... + 17508.

It is an arithmetic number, because the mean of its divisors is an integer number (1796450).

Almost surely, 248735216 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 48735216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71858000).

48735216 is an abundant number, since it is smaller than the sum of its proper divisors (94980784).

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

48735216 is a wasteful number, since it uses less digits than its factorization.

48735216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3103 (or 3091 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The square root of 48735216 is about 6981.0612373764. The cubic root of 48735216 is about 365.2702470972.

The spelling of 48735216 in words is "forty-eight million, seven hundred thirty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 108 111 144 148 216 222 296 333 432 444 592 666 888 999 1332 1776 1998 2664 3049 3996 5328 6098 7992 9147 12196 15984 18294 24392 27441 36588 48784 54882 73176 82323 109764 112813 146352 164646 219528 225626 329292 338439 439056 451252 658584 676878 902504 1015317 1317168 1353756 1805008 2030634 2707512 3045951 4061268 5415024 6091902 8122536 12183804 16245072 24367608 48735216