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57392240 = 2451017103
BaseRepresentation
bin1101101011101…
…1110001110000
310222222211100112
43122323301300
5104143022430
65410040452
71264553213
oct332736160
9128884315
1057392240
112a43a704
1217279128
13bb76009
14789d77a
15508a195
hex36bbc70

57392240 has 40 divisors (see below), whose sum is σ = 134777088. Its totient is φ = 22726400.

The previous prime is 57392227. The next prime is 57392263. The reversal of 57392240 is 4229375.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 57392197 and 57392206.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4529 + ... + 11631.

Almost surely, 257392240 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 57392240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67388544).

57392240 is an abundant number, since it is smaller than the sum of its proper divisors (77384848).

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

57392240 is a wasteful number, since it uses less digits than its factorization.

57392240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7217 (or 7211 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 32.

The square root of 57392240 is about 7575.7666278734. The cubic root of 57392240 is about 385.7308655751.

The spelling of 57392240 in words is "fifty-seven million, three hundred ninety-two thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 101 202 404 505 808 1010 1616 2020 4040 7103 8080 14206 28412 35515 56824 71030 113648 142060 284120 568240 717403 1434806 2869612 3587015 5739224 7174030 11478448 14348060 28696120 57392240