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53000080 = 2457314371
BaseRepresentation
bin1100101000101…
…1011110010000
310200201200102221
43022023132100
5102032000310
65131550424
71212331120
oct312133620
9120650387
1053000080
1127a0a821
12158bb414
13ac98ac3
147078c80
1549bdada
hex328b790

53000080 has 160 divisors (see below), whose sum is σ = 150847488. Its totient is φ = 16934400.

The previous prime is 53000069. The next prime is 53000089. The reversal of 53000080 is 8000035.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (53000089) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 746445 + ... + 746515.

Almost surely, 253000080 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 53000080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75423744).

53000080 is an abundant number, since it is smaller than the sum of its proper divisors (97847408).

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

53000080 is a wasteful number, since it uses less digits than its factorization.

53000080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 53000080 is about 7280.1153837010. The cubic root of 53000080 is about 375.6287644175.

The spelling of 53000080 in words is "fifty-three million, eighty", and thus it is an aban number and an uban number.

Divisors: 1 2 4 5 7 8 10 14 16 20 28 31 35 40 43 56 62 70 71 80 86 112 124 140 142 155 172 215 217 248 280 284 301 310 344 355 430 434 496 497 560 568 602 620 688 710 860 868 994 1085 1136 1204 1240 1333 1420 1505 1720 1736 1988 2170 2201 2408 2480 2485 2666 2840 3010 3053 3440 3472 3976 4340 4402 4816 4970 5332 5680 6020 6106 6665 7952 8680 8804 9331 9940 10664 11005 12040 12212 13330 15265 15407 17360 17608 18662 19880 21328 21371 22010 24080 24424 26660 30530 30814 35216 37324 39760 42742 44020 46655 48848 53320 61060 61628 74648 77035 85484 88040 93310 94643 106640 106855 122120 123256 149296 154070 170968 176080 186620 189286 213710 244240 246512 308140 341936 373240 378572 427420 473215 616280 662501 746480 757144 854840 946430 1232560 1325002 1514288 1709680 1892860 2650004 3312505 3785720 5300008 6625010 7571440 10600016 13250020 26500040 53000080