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52983040 = 285115371
BaseRepresentation
bin1100101000011…
…1010100000000
310200200211001211
43022013110000
5102030424130
65131335504
71212230335
oct312072400
9120624054
1052983040
11279a8a40
12158b1594
13ac91116
14707298c
1549b8a2a
hex3287500

52983040 has 144 divisors (see below), whose sum is σ = 143047296. Its totient is φ = 18636800.

The previous prime is 52983037. The next prime is 52983041. The reversal of 52983040 is 4038925.

It is a junction number, because it is equal to n+sod(n) for n = 52982993 and 52983011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52983041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 746205 + ... + 746275.

It is an arithmetic number, because the mean of its divisors is an integer number (993384).

Almost surely, 252983040 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 52983040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71523648).

52983040 is an abundant number, since it is smaller than the sum of its proper divisors (90064256).

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

52983040 is a wasteful number, since it uses less digits than its factorization.

52983040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The square root of 52983040 is about 7278.9449784979. The cubic root of 52983040 is about 375.5885040995.

It can be divided in two parts, 5298 and 3040, that added together give a palindrome (8338).

The spelling of 52983040 in words is "fifty-two million, nine hundred eighty-three thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 53 55 64 71 80 88 106 110 128 142 160 176 212 220 256 265 284 320 352 355 424 440 530 568 583 640 704 710 781 848 880 1060 1136 1166 1280 1408 1420 1562 1696 1760 2120 2272 2332 2816 2840 2915 3124 3392 3520 3763 3905 4240 4544 4664 5680 5830 6248 6784 7040 7526 7810 8480 9088 9328 11360 11660 12496 13568 14080 15052 15620 16960 18176 18656 18815 22720 23320 24992 30104 31240 33920 37312 37630 41393 45440 46640 49984 60208 62480 67840 74624 75260 82786 90880 93280 99968 120416 124960 149248 150520 165572 186560 199936 206965 240832 249920 301040 331144 373120 413930 481664 499840 602080 662288 746240 827860 963328 999680 1204160 1324576 1655720 2408320 2649152 3311440 4816640 5298304 6622880 10596608 13245760 26491520 52983040