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48711936 = 2837131741
BaseRepresentation
bin1011100111010…
…0100100000000
310101122211012210
42321310210000
544432240221
64500022120
71131021210
oct271644400
9111584183
1048711936
1125550aa9
1214391940
13a127040
146680240
154423276
hex2e74900

48711936 has 288 divisors, whose sum is σ = 173069568. Its totient is φ = 11796480.

The previous prime is 48711913. The next prime is 48711947. The reversal of 48711936 is 63911784.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 48711894 and 48711903.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1188076 + ... + 1188116.

It is an arithmetic number, because the mean of its divisors is an integer number (600936).

Almost surely, 248711936 is an apocalyptic number.

48711936 is the 3731-st nonagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48711936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86534784).

48711936 is an abundant number, since it is smaller than the sum of its proper divisors (124357632).

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

48711936 is a wasteful number, since it uses less digits than its factorization.

48711936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 83 counting only the distinct ones).

The product of its digits is 36288, while the sum is 39.

The square root of 48711936 is about 6979.3936699401. The cubic root of 48711936 is about 365.2120766652.

The spelling of 48711936 in words is "forty-eight million, seven hundred eleven thousand, nine hundred thirty-six".