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57748950 = 235527297
BaseRepresentation
bin1101110001001…
…0110111010110
311000122221200000
43130102313112
5104240431300
65421432130
71300600200
oct334226726
9130587600
1057748950
112a663706
121740b646
13bc6c49c
147953770
15510ac00
hex3712dd6

57748950 has 216 divisors, whose sum is σ = 189097272. Its totient is φ = 13063680.

The previous prime is 57748937. The next prime is 57748967. The reversal of 57748950 is 5984775.

It is a super-2 number, since 2×577489502 = 6669882452205000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 57748896 and 57748905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 595302 + ... + 595398.

Almost surely, 257748950 is an apocalyptic number.

57748950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 57748950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94548636).

57748950 is an abundant number, since it is smaller than the sum of its proper divisors (131348322).

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

57748950 is a wasteful number, since it uses less digits than its factorization.

57748950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The square root of 57748950 is about 7599.2729915433. The cubic root of 57748950 is about 386.5283600013.

The spelling of 57748950 in words is "fifty-seven million, seven hundred forty-eight thousand, nine hundred fifty".