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57004640 = 2557211661
BaseRepresentation
bin1101100101110…
…1001001100000
310222021010122222
43121131021200
5104043122030
65353450212
71261350200
oct331351140
9128233588
1057004640
112a1a5480
1217110968
13ba6b774
1477dc400
1550103e5
hex365d260

57004640 has 144 divisors (see below), whose sum is σ = 171161424. Its totient is φ = 17740800.

The previous prime is 57004639. The next prime is 57004657. The reversal of 57004640 is 4640075.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85910 + ... + 86570.

It is an arithmetic number, because the mean of its divisors is an integer number (1188621).

Almost surely, 257004640 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 57004640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85580712).

57004640 is an abundant number, since it is smaller than the sum of its proper divisors (114156784).

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

57004640 is a wasteful number, since it uses less digits than its factorization.

57004640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 701 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 26.

The square root of 57004640 is about 7550.1417205242. The cubic root of 57004640 is about 384.8605555609.

The spelling of 57004640 in words is "fifty-seven million, four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 49 55 56 70 77 80 88 98 110 112 140 154 160 176 196 220 224 245 280 308 352 385 392 440 490 539 560 616 661 770 784 880 980 1078 1120 1232 1322 1540 1568 1760 1960 2156 2464 2644 2695 3080 3305 3920 4312 4627 5288 5390 6160 6610 7271 7840 8624 9254 10576 10780 12320 13220 14542 17248 18508 21152 21560 23135 26440 29084 32389 36355 37016 43120 46270 50897 52880 58168 64778 72710 74032 86240 92540 101794 105760 116336 129556 145420 148064 161945 185080 203588 232672 254485 259112 290840 323890 356279 370160 407176 508970 518224 581680 647780 712558 740320 814352 1017940 1036448 1163360 1295560 1425116 1628704 1781395 2035880 2591120 2850232 3562790 4071760 5182240 5700464 7125580 8143520 11400928 14251160 28502320 57004640