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53002368 = 2732139331
BaseRepresentation
bin1100101000110…
…0000010000000
310200201210120200
43022030002000
5102032033433
65132005200
71212340566
oct312140200
9120653520
1053002368
1127a11511
1215900800
13ac99b63
147079a36
1549be613
hex328c080

53002368 has 96 divisors (see below), whose sum is σ = 154081200. Its totient is φ = 17487360.

The previous prime is 53002363. The next prime is 53002387. The reversal of 53002368 is 86320035.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (53002361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159963 + ... + 160293.

Almost surely, 253002368 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 53002368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77040600).

53002368 is an abundant number, since it is smaller than the sum of its proper divisors (101078832).

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

53002368 is a wasteful number, since it uses less digits than its factorization.

53002368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 53002368 is about 7280.2725223717. The cubic root of 53002368 is about 375.6341696059.

The spelling of 53002368 in words is "fifty-three million, two thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 139 144 192 278 288 331 384 417 556 576 662 834 993 1112 1152 1251 1324 1668 1986 2224 2502 2648 2979 3336 3972 4448 5004 5296 5958 6672 7944 8896 10008 10592 11916 13344 15888 17792 20016 21184 23832 26688 31776 40032 42368 46009 47664 53376 63552 80064 92018 95328 127104 138027 160128 184036 190656 276054 368072 381312 414081 552108 736144 828162 1104216 1472288 1656324 2208432 2944576 3312648 4416864 5889152 6625296 8833728 13250592 17667456 26501184 53002368