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53064960 = 2835131063
BaseRepresentation
bin1100101001101…
…1010100000000
310200211222102220
43022123110000
5102041034320
65133211040
71213021224
oct312332400
9120758386
1053064960
1127a54543
1215930a80
13acbc4b0
147094784
1549d2e40
hex329b500

53064960 has 144 divisors (see below), whose sum is σ = 182684544. Its totient is φ = 13049856.

The previous prime is 53064953. The next prime is 53064961. The reversal of 53064960 is 6946035.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53064961) 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, 49389 + ... + 50451.

Almost surely, 253064960 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 53064960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91342272).

53064960 is an abundant number, since it is smaller than the sum of its proper divisors (129619584).

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

53064960 is a wasteful number, since it uses less digits than its factorization.

53064960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 33.

The square root of 53064960 is about 7284.5699941726. The cubic root of 53064960 is about 375.7819771202.

The spelling of 53064960 in words is "fifty-three million, sixty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 192 195 208 240 256 260 312 320 384 390 416 480 520 624 640 768 780 832 960 1040 1063 1248 1280 1560 1664 1920 2080 2126 2496 3120 3189 3328 3840 4160 4252 4992 5315 6240 6378 8320 8504 9984 10630 12480 12756 13819 15945 16640 17008 21260 24960 25512 27638 31890 34016 41457 42520 49920 51024 55276 63780 68032 69095 82914 85040 102048 110552 127560 136064 138190 165828 170080 204096 207285 221104 255120 272128 276380 331656 340160 408192 414570 442208 510240 552760 663312 680320 816384 829140 884416 1020480 1105520 1326624 1360640 1658280 1768832 2040960 2211040 2653248 3316560 3537664 4081920 4422080 5306496 6633120 8844160 10612992 13266240 17688320 26532480 53064960