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53476000 = 255329461
BaseRepresentation
bin1100101111111…
…1101010100000
310201121212021121
43023333222200
5102142213000
65150102024
71216352464
oct313775240
9121555247
1053476000
1128205346
1215aaa914
13b104606
1471604a4
154a64b1a
hex32ffaa0

53476000 has 96 divisors (see below), whose sum is σ = 136216080. Its totient is φ = 20608000.

The previous prime is 53475997. The next prime is 53476001. The reversal of 53476000 is 67435.

It can be written as a sum of positive squares in 8 ways, for example, as 535824 + 52940176 = 732^2 + 7276^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (53476001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115770 + ... + 116230.

Almost surely, 253476000 is an apocalyptic number.

53476000 is a gapful number since it is divisible by the number (50) 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 53476000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68108040).

53476000 is an abundant number, since it is smaller than the sum of its proper divisors (82740080).

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

53476000 is a wasteful number, since it uses less digits than its factorization.

53476000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 25.

The square root of 53476000 is about 7312.7286289045. The cubic root of 53476000 is about 376.7497489044.

The spelling of 53476000 in words is "fifty-three million, four hundred seventy-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 29 32 40 50 58 80 100 116 125 145 160 200 232 250 290 400 461 464 500 580 725 800 922 928 1000 1160 1450 1844 2000 2305 2320 2900 3625 3688 4000 4610 4640 5800 7250 7376 9220 11525 11600 13369 14500 14752 18440 23050 23200 26738 29000 36880 46100 53476 57625 58000 66845 73760 92200 106952 115250 116000 133690 184400 213904 230500 267380 334225 368800 427808 461000 534760 668450 922000 1069520 1336900 1671125 1844000 2139040 2673800 3342250 5347600 6684500 10695200 13369000 26738000 53476000