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53040408 = 23317711831
BaseRepresentation
bin1100101001010…
…1010100011000
310200210201202120
43022111110120
5102034243113
65132501240
71212556521
oct312252430
9120721676
1053040408
1127a38053
121591a820
13acb1275
147089848
1549caa23
hex3295518

53040408 has 64 divisors (see below), whose sum is σ = 142456320. Its totient is φ = 16396800.

The previous prime is 53040397. The next prime is 53040443. The reversal of 53040408 is 80404035.

It is a happy number.

It is a super-3 number, since 3×530404083 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 28053 + ... + 29883.

It is an arithmetic number, because the mean of its divisors is an integer number (2225880).

Almost surely, 253040408 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 53040408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71228160).

53040408 is an abundant number, since it is smaller than the sum of its proper divisors (89415912).

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

53040408 is a wasteful number, since it uses less digits than its factorization.

53040408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 53040408 is about 7282.8845933462. The cubic root of 53040408 is about 375.7240128038.

The spelling of 53040408 in words is "fifty-three million, forty thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 71 102 136 142 204 213 284 408 426 568 852 1207 1704 1831 2414 3621 3662 4828 5493 7242 7324 9656 10986 14484 14648 21972 28968 31127 43944 62254 93381 124508 130001 186762 249016 260002 373524 390003 520004 747048 780006 1040008 1560012 2210017 3120024 4420034 6630051 8840068 13260102 17680136 26520204 53040408