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52427256 = 23372109409
BaseRepresentation
bin1100011111111…
…1100111111000
310122122120200020
43013333213320
5101410133011
65111410440
71204424100
oct307774770
9118576606
1052427256
1127659412
1215683a20
13ab2815b
146d6a200
154909006
hex31ff9f8

52427256 has 96 divisors (see below), whose sum is σ = 154242000. Its totient is φ = 14805504.

The previous prime is 52427183. The next prime is 52427257. The reversal of 52427256 is 65272425.

52427256 = 1342 + 1352 + ... + 5422.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52427257) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 127980 + ... + 128388.

Almost surely, 252427256 is an apocalyptic number.

52427256 is a gapful number since it is divisible by the number (56) 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 52427256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77121000).

52427256 is an abundant number, since it is smaller than the sum of its proper divisors (101814744).

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

52427256 is a wasteful number, since it uses less digits than its factorization.

52427256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 541 (or 530 counting only the distinct ones).

The product of its digits is 33600, while the sum is 33.

The square root of 52427256 is about 7240.6668201209. Note that the first 3 decimals coincide. The cubic root of 52427256 is about 374.2705963964.

The spelling of 52427256 in words is "fifty-two million, four hundred twenty-seven thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 109 147 168 196 218 294 327 392 409 436 588 654 763 818 872 1176 1227 1308 1526 1636 2289 2454 2616 2863 3052 3272 4578 4908 5341 5726 6104 8589 9156 9816 10682 11452 16023 17178 18312 20041 21364 22904 32046 34356 40082 42728 44581 60123 64092 68712 80164 89162 120246 128184 133743 160328 178324 240492 267486 312067 356648 480984 534972 624134 936201 1069944 1248268 1872402 2184469 2496536 3744804 4368938 6553407 7489608 8737876 13106814 17475752 26213628 52427256