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48780720 = 2432567751
BaseRepresentation
bin1011101000010…
…1010110110000
310101210022120100
42322011112300
544441440340
64501312400
71131425562
oct272052660
9111708510
1048780720
112559874a
1214405700
13a14c441
14669b332
154438830
hex2e855b0

48780720 has 60 divisors (see below), whose sum is σ = 163824336. Its totient is φ = 13008000.

The previous prime is 48780713. The next prime is 48780727. The reversal of 48780720 is 2708784.

It is an interprime number because it is at equal distance from previous prime (48780713) and next prime (48780727).

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (48780727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33156 + ... + 34595.

Almost surely, 248780720 is an apocalyptic number.

48780720 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48780720 is an abundant number, since it is smaller than the sum of its proper divisors (115043616).

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

48780720 is a wasteful number, since it uses less digits than its factorization.

48780720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67770 (or 67761 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 48780720 is about 6984.3195803170. The cubic root of 48780720 is about 365.3838958321.

The spelling of 48780720 in words is "forty-eight million, seven hundred eighty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 67751 135502 203253 271004 338755 406506 542008 609759 677510 813012 1016265 1084016 1219518 1355020 1626024 2032530 2439036 2710040 3048795 3252048 4065060 4878072 5420080 6097590 8130120 9756144 12195180 16260240 24390360 48780720