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57068480 = 265773349
BaseRepresentation
bin1101100110110…
…0101111000000
310222101101020102
43121230233000
5104102142410
65355101532
71262034260
oct331545700
9128341212
1057068480
112a239437
12171418a8
13ba91841
1478177a0
1550242a5
hex366cbc0

57068480 has 112 divisors (see below), whose sum is σ = 157886400. Its totient is φ = 19243008.

The previous prime is 57068477. The next prime is 57068483. The reversal of 57068480 is 8486075.

57068480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (57068477) and next prime (57068483).

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×570684802 = 6513622819020800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (57068483) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163346 + ... + 163694.

It is an arithmetic number, because the mean of its divisors is an integer number (1409700).

Almost surely, 257068480 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 57068480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78943200).

57068480 is an abundant number, since it is smaller than the sum of its proper divisors (100817920).

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

57068480 is a wasteful number, since it uses less digits than its factorization.

57068480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 38.

The square root of 57068480 is about 7554.3682727280. The cubic root of 57068480 is about 385.0041715408.

The spelling of 57068480 in words is "fifty-seven million, sixty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 73 80 112 140 146 160 224 280 292 320 349 365 448 511 560 584 698 730 1022 1120 1168 1396 1460 1745 2044 2240 2336 2443 2555 2792 2920 3490 4088 4672 4886 5110 5584 5840 6980 8176 9772 10220 11168 11680 12215 13960 16352 19544 20440 22336 23360 24430 25477 27920 32704 39088 40880 48860 50954 55840 78176 81760 97720 101908 111680 127385 156352 163520 178339 195440 203816 254770 356678 390880 407632 509540 713356 781760 815264 891695 1019080 1426712 1630528 1783390 2038160 2853424 3566780 4076320 5706848 7133560 8152640 11413696 14267120 28534240 57068480