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57290240 = 295723139
BaseRepresentation
bin1101101010001…
…0111000000000
310222210122102202
43122202320000
5104131241430
65403532332
71263646640
oct332427000
9128718382
1057290240
112a380007
121722a0a8
13bb3b767
147874520
155069d45
hex36a2e00

57290240 has 160 divisors (see below), whose sum is σ = 164989440. Its totient is φ = 18653184.

The previous prime is 57290197. The next prime is 57290251. The reversal of 57290240 is 4209275.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 412091 + ... + 412229.

It is an arithmetic number, because the mean of its divisors is an integer number (1031184).

Almost surely, 257290240 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 57290240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82494720).

57290240 is an abundant number, since it is smaller than the sum of its proper divisors (107699200).

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

57290240 is a wasteful number, since it uses less digits than its factorization.

57290240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 176 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 57290240 is about 7569.0316421587. The cubic root of 57290240 is about 385.5022174767.

The spelling of 57290240 in words is "fifty-seven million, two hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 64 70 80 92 112 115 128 139 140 160 161 184 224 230 256 278 280 320 322 368 448 460 512 556 560 640 644 695 736 805 896 920 973 1112 1120 1280 1288 1390 1472 1610 1792 1840 1946 2224 2240 2560 2576 2780 2944 3197 3220 3584 3680 3892 4448 4480 4865 5152 5560 5888 6394 6440 7360 7784 8896 8960 9730 10304 11120 11776 12788 12880 14720 15568 15985 17792 17920 19460 20608 22240 22379 25576 25760 29440 31136 31970 35584 38920 41216 44480 44758 51152 51520 58880 62272 63940 71168 77840 82432 88960 89516 102304 103040 111895 124544 127880 155680 177920 179032 204608 206080 223790 249088 255760 311360 355840 358064 409216 412160 447580 498176 511520 622720 716128 818432 895160 1023040 1245440 1432256 1636864 1790320 2046080 2490880 2864512 3580640 4092160 5729024 7161280 8184320 11458048 14322560 28645120 57290240