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48745728 = 283221157
BaseRepresentation
bin1011100111110…
…0110100000000
310101201112120100
42321330310000
544434330403
64500442400
71131221553
oct271746400
9111645510
1048745728
1125574429
12143a9400
13a139535
14668c69a
15442d2a3
hex2e7cd00

48745728 has 54 divisors (see below), whose sum is σ = 140552594. Its totient is φ = 16247808.

The previous prime is 48745727. The next prime is 48745729. The reversal of 48745728 is 82754784.

48745728 is a `hidden beast` number, since 4 + 8 + 74 + 572 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (48745727) and next prime (48745729).

It can be written as a sum of positive squares in only one way, i.e., 28387584 + 20358144 = 5328^2 + 4512^2 .

It is a super-2 number, since 2×487457282 = 4752291996499968, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48745727) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8275 + ... + 12882.

Almost surely, 248745728 is an apocalyptic number.

48745728 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48745728 is an abundant number, since it is smaller than the sum of its proper divisors (91806866).

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

48745728 is a wasteful number, since it uses less digits than its factorization.

48745728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21179 (or 21162 counting only the distinct ones).

The product of its digits is 501760, while the sum is 45.

The square root of 48745728 is about 6981.8140909079. The cubic root of 48745728 is about 365.2965076751.

The spelling of 48745728 in words is "forty-eight million, seven hundred forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 21157 42314 63471 84628 126942 169256 190413 253884 338512 380826 507768 677024 761652 1015536 1354048 1523304 2031072 2708096 3046608 4062144 5416192 6093216 8124288 12186432 16248576 24372864 48745728