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53119044 = 22331161733
BaseRepresentation
bin1100101010100…
…0100001000100
310200221201122000
43022220201010
5102044302134
65134305300
71213335006
oct312504104
9120851560
1053119044
1127a91140
1215958230
13b00acb4
1470aa376
1549e3e99
hex32a8844

53119044 has 96 divisors (see below), whose sum is σ = 152906880. Its totient is φ = 15811200.

The previous prime is 53119021. The next prime is 53119063. The reversal of 53119044 is 44091135.

53119044 is a `hidden beast` number, since 531 + 1 + 90 + 44 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 53118999 and 53119017.

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, 72102 + ... + 72834.

It is an arithmetic number, because the mean of its divisors is an integer number (1592780).

Almost surely, 253119044 is an apocalyptic number.

53119044 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53119044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76453440).

53119044 is an abundant number, since it is smaller than the sum of its proper divisors (99787836).

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

53119044 is a wasteful number, since it uses less digits than its factorization.

53119044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 818 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 53119044 is about 7288.2812788750. The cubic root of 53119044 is about 375.9095998909.

The spelling of 53119044 in words is "fifty-three million, one hundred nineteen thousand, forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 61 66 99 108 122 132 183 198 244 297 366 396 549 594 671 732 733 1098 1188 1342 1466 1647 2013 2196 2199 2684 2932 3294 4026 4398 6039 6588 6597 8052 8063 8796 12078 13194 16126 18117 19791 24156 24189 26388 32252 36234 39582 44713 48378 72468 72567 79164 89426 96756 134139 145134 178852 217701 268278 290268 402417 435402 491843 536556 804834 870804 983686 1207251 1475529 1609668 1967372 2414502 2951058 4426587 4829004 5902116 8853174 13279761 17706348 26559522 53119044