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48748040 = 23511234817
BaseRepresentation
bin1011100111110…
…1011000001000
310101201122201222
42321331120020
544434414130
64500501212
71131231365
oct271753010
9111648658
1048748040
1125576140
12143aa808
13a13a5c3
14668d46c
15442dce5
hex2e7d608

48748040 has 64 divisors (see below), whose sum is σ = 124882560. Its totient is φ = 16952320.

The previous prime is 48748039. The next prime is 48748067. The reversal of 48748040 is 4084784.

48748040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7712 + ... + 12528.

It is an arithmetic number, because the mean of its divisors is an integer number (1951290).

Almost surely, 248748040 is an apocalyptic number.

48748040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48748040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62441280).

48748040 is an abundant number, since it is smaller than the sum of its proper divisors (76134520).

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

48748040 is a wasteful number, since it uses less digits than its factorization.

48748040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4862 (or 4858 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 35.

The square root of 48748040 is about 6981.9796619583. The cubic root of 48748040 is about 365.3022828969.

The spelling of 48748040 in words is "forty-eight million, seven hundred forty-eight thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 23 40 44 46 55 88 92 110 115 184 220 230 253 440 460 506 920 1012 1265 2024 2530 4817 5060 9634 10120 19268 24085 38536 48170 52987 96340 105974 110791 192680 211948 221582 264935 423896 443164 529870 553955 886328 1059740 1107910 1218701 2119480 2215820 2437402 4431640 4874804 6093505 9749608 12187010 24374020 48748040