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53759640 = 233511139293
BaseRepresentation
bin1100110100010…
…0111010011000
310202011021100210
43031010322120
5102230302030
65200131120
71221643434
oct315047230
9122137323
1053759640
1128389460
1216006aa0
13b1a374c
1471d59c4
154abdbb0
hex3344e98

53759640 has 128 divisors (see below), whose sum is σ = 177811200. Its totient is φ = 12894720.

The previous prime is 53759633. The next prime is 53759653. The reversal of 53759640 is 4695735.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 183334 + ... + 183626.

It is an arithmetic number, because the mean of its divisors is an integer number (1389150).

Almost surely, 253759640 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 53759640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88905600).

53759640 is an abundant number, since it is smaller than the sum of its proper divisors (124051560).

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

53759640 is a wasteful number, since it uses less digits than its factorization.

53759640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The square root of 53759640 is about 7332.0965623756. The cubic root of 53759640 is about 377.4146759781.

The spelling of 53759640 in words is "fifty-three million, seven hundred fifty-nine thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 139 165 220 264 278 293 330 417 440 556 586 660 695 834 879 1112 1172 1320 1390 1465 1529 1668 1758 2085 2344 2780 2930 3058 3223 3336 3516 4170 4395 4587 5560 5860 6116 6446 7032 7645 8340 8790 9174 9669 11720 12232 12892 15290 16115 16680 17580 18348 19338 22935 25784 30580 32230 35160 36696 38676 40727 45870 48345 61160 64460 77352 81454 91740 96690 122181 128920 162908 183480 193380 203635 244362 325816 386760 407270 447997 488724 610905 814540 895994 977448 1221810 1343991 1629080 1791988 2239985 2443620 2687982 3583976 4479970 4887240 5375964 6719955 8959940 10751928 13439910 17919880 26879820 53759640