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53136480 = 2535313571
BaseRepresentation
bin1100101010110…
…0110001100000
310200222121112210
43022230301200
5102100331410
65134522120
71213436565
oct312546140
9120877483
1053136480
1127aa3251
1215966340
13b015c07
1470b286c
1549e9220
hex32acc60

53136480 has 96 divisors (see below), whose sum is σ = 172827648. Its totient is φ = 13708800.

The previous prime is 53136469. The next prime is 53136541. The reversal of 53136480 is 8463135.

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

It is a hoax number, since the sum of its digits (30) 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 (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13095 + ... + 16665.

It is an arithmetic number, because the mean of its divisors is an integer number (1800288).

Almost surely, 253136480 is an apocalyptic number.

53136480 is the 5952-nd pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53136480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86413824).

53136480 is an abundant number, since it is smaller than the sum of its proper divisors (119691168).

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

53136480 is a wasteful number, since it uses less digits than its factorization.

53136480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3620 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 53136480 is about 7289.4773475195. The cubic root of 53136480 is about 375.9507253974.

The spelling of 53136480 in words is "fifty-three million, one hundred thirty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3571 3720 4960 7142 7440 10713 14284 14880 17855 21426 28568 35710 42852 53565 57136 71420 85704 107130 110701 114272 142840 171408 214260 221402 285680 332103 342816 428520 442804 553505 571360 664206 857040 885608 1107010 1328412 1660515 1714080 1771216 2214020 2656824 3321030 3542432 4428040 5313648 6642060 8856080 10627296 13284120 17712160 26568240 53136480