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53982990 = 23351719619
BaseRepresentation
bin1100110111101…
…1011100001110
310202120121202000
43031323130032
5102304423430
65205013130
71223563545
oct315733416
9122517660
1053982990
1128521246
12160b41a6
13b2512c9
14725315c
154b14e60
hex337b70e

53982990 has 128 divisors (see below), whose sum is σ = 160704000. Its totient is φ = 12814848.

The previous prime is 53982967. The next prime is 53983003. The reversal of 53982990 is 9928935.

53982990 is a `hidden beast` number, since 539 + 8 + 29 + 90 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86901 + ... + 87519.

It is an arithmetic number, because the mean of its divisors is an integer number (1255500).

Almost surely, 253982990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53982990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80352000).

53982990 is an abundant number, since it is smaller than the sum of its proper divisors (106721010).

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

53982990 is a wasteful number, since it uses less digits than its factorization.

53982990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 671 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 53982990 is about 7347.3117532877. The cubic root of 53982990 is about 377.9366232875.

The spelling of 53982990 in words is "fifty-three million, nine hundred eighty-two thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 19 27 30 34 38 45 51 54 57 85 90 95 102 114 135 153 170 171 190 255 270 285 306 323 342 459 510 513 570 619 646 765 855 918 969 1026 1238 1530 1615 1710 1857 1938 2295 2565 2907 3095 3230 3714 4590 4845 5130 5571 5814 6190 8721 9285 9690 10523 11142 11761 14535 16713 17442 18570 21046 23522 27855 29070 31569 33426 35283 43605 52615 55710 58805 63138 70566 83565 87210 94707 105230 105849 117610 157845 167130 176415 189414 199937 211698 284121 315690 317547 352830 399874 473535 529245 568242 599811 635094 947070 999685 1058490 1199622 1420605 1587735 1799433 1999370 2841210 2999055 3175470 3598866 5398299 5998110 8997165 10796598 17994330 26991495 53982990