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53460225 = 32527213373
BaseRepresentation
bin1100101111101…
…1110100000001
310201121001122100
43023323310001
5102141211400
65145501013
71216255500
oct313736401
9121531570
1053460225
11281a4505
1215aa1769
13b0ca390
147158837
154a60100
hex32fbd01

53460225 has 108 divisors (see below), whose sum is σ = 120276156. Its totient is φ = 22498560.

The previous prime is 53460181. The next prime is 53460233. The reversal of 53460225 is 52206435.

53460225 is a `hidden beast` number, since 5 + 34 + 602 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5143824 + 48316401 = 2268^2 + 6951^2 .

It is not a de Polignac number, because 53460225 - 210 = 53459201 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 143139 + ... + 143511.

Almost surely, 253460225 is an apocalyptic number.

It is an amenable number.

53460225 is an abundant number, since it is smaller than the sum of its proper divisors (66815931).

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

53460225 is a wasteful number, since it uses less digits than its factorization.

53460225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 53460225 is about 7311.6499505925. The cubic root of 53460225 is about 376.7126991887.

The spelling of 53460225 in words is "fifty-three million, four hundred sixty thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 21 25 35 39 45 49 63 65 75 91 105 117 147 175 195 225 245 273 315 325 373 441 455 525 585 637 735 819 975 1119 1225 1365 1575 1865 1911 2205 2275 2611 2925 3185 3357 3675 4095 4849 5595 5733 6825 7833 9325 9555 11025 13055 14547 15925 16785 18277 20475 23499 24245 27975 28665 33943 39165 43641 47775 54831 65275 72735 83925 91385 101829 117495 121225 143325 164493 169715 195825 218205 237601 274155 305487 363675 456925 509145 587475 712803 822465 848575 1091025 1188005 1370775 1527435 2138409 2545725 3564015 4112325 5940025 7637175 10692045 17820075 53460225