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48527680 = 2651391091
BaseRepresentation
bin1011100100011…
…1100101000000
310101022110110111
42321013211000
544410341210
64452041104
71126323055
oct271074500
9111273414
1048527680
1125435623
1214303194
13a091206
14663302c
1543d888a
hex2e47940

48527680 has 56 divisors (see below), whose sum is σ = 116494560. Its totient is φ = 19253760.

The previous prime is 48527671. The next prime is 48527681. The reversal of 48527680 is 8672584.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48527681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43935 + ... + 45025.

It is an arithmetic number, because the mean of its divisors is an integer number (2080260).

Almost surely, 248527680 is an apocalyptic number.

48527680 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 48527680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58247280).

48527680 is an abundant number, since it is smaller than the sum of its proper divisors (67966880).

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

48527680 is a wasteful number, since it uses less digits than its factorization.

48527680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1247 (or 1237 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 40.

The square root of 48527680 is about 6966.1811633060. The cubic root of 48527680 is about 364.7510155321.

The spelling of 48527680 in words is "forty-eight million, five hundred twenty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 139 160 278 320 556 695 1091 1112 1390 2182 2224 2780 4364 4448 5455 5560 8728 8896 10910 11120 17456 21820 22240 34912 43640 44480 69824 87280 151649 174560 303298 349120 606596 758245 1213192 1516490 2426384 3032980 4852768 6065960 9705536 12131920 24263840 48527680