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255505432 = 237132811249
BaseRepresentation
bin11110011101010…
…11010000011000
3122210210000120011
433032223100120
51010402133212
641204211304
76221521540
oct1716532030
9583700504
10255505432
11121254016
1271699b34
1340c1c560
1425d10320
15176704a7
hexf3ab418

255505432 has 64 divisors (see below), whose sum is σ = 592200000. Its totient is φ = 100638720.

The previous prime is 255505429. The next prime is 255505433. The reversal of 255505432 is 234505552.

It is a happy number.

255505432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 255505394 and 255505403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (255505433) 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, 203944 + ... + 205192.

It is an arithmetic number, because the mean of its divisors is an integer number (9253125).

Almost surely, 2255505432 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 255505432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296100000).

255505432 is an abundant number, since it is smaller than the sum of its proper divisors (336694568).

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

255505432 is a wasteful number, since it uses less digits than its factorization.

255505432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1552 counting only the distinct ones).

The product of its (nonzero) digits is 30000, while the sum is 31.

The square root of 255505432 is about 15984.5372782574. The cubic root of 255505432 is about 634.5512625204.

The spelling of 255505432 in words is "two hundred fifty-five million, five hundred five thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 281 364 562 728 1124 1249 1967 2248 2498 3653 3934 4996 7306 7868 8743 9992 14612 15736 16237 17486 25571 29224 32474 34972 51142 64948 69944 102284 113659 129896 204568 227318 350969 454636 701938 909272 1403876 2456783 2807752 4562597 4913566 9125194 9827132 18250388 19654264 31938179 36500776 63876358 127752716 255505432