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48736820 = 22511297639
BaseRepresentation
bin1011100111101…
…0101000110100
310101201002100102
42321322220310
544434034240
64500333232
71131153566
oct271725064
9111632312
1048736820
1125568770
12143a4218
13a135472
146689336
15442a815
hex2e7aa34

48736820 has 48 divisors (see below), whose sum is σ = 115516800. Its totient is φ = 17109120.

The previous prime is 48736817. The next prime is 48736829. The reversal of 48736820 is 2863784.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48736829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2561 + ... + 10199.

It is an arithmetic number, because the mean of its divisors is an integer number (2406600).

Almost surely, 248736820 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 48736820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57758400).

48736820 is an abundant number, since it is smaller than the sum of its proper divisors (66779980).

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

48736820 is a wasteful number, since it uses less digits than its factorization.

48736820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7688 (or 7686 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 38.

The square root of 48736820 is about 6981.1761186780. The cubic root of 48736820 is about 365.2742543778.

The spelling of 48736820 in words is "forty-eight million, seven hundred thirty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 110 116 145 220 290 319 580 638 1276 1595 3190 6380 7639 15278 30556 38195 76390 84029 152780 168058 221531 336116 420145 443062 840290 886124 1107655 1680580 2215310 2436841 4430620 4873682 9747364 12184205 24368410 48736820