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255525552 = 243237199241
BaseRepresentation
bin11110011101100…
…00001010110000
3122210211001011100
433032300022300
51010403304202
641204444400
76221634312
oct1716601260
9583731140
10255525552
11121268147
12716a9700
1340c28769
1425d177b2
151767641c
hexf3b02b0

255525552 has 120 divisors (see below), whose sum is σ = 741197600. Its totient is φ = 82114560.

The previous prime is 255525551. The next prime is 255525553.

255525552 is a `hidden beast` number, since 2 + 5 + 552 + 55 + 52 = 666.

255525552 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (255525551) and next prime (255525553).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (255525551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1060152 + ... + 1060392.

Almost surely, 2255525552 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 255525552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370598800).

255525552 is an abundant number, since it is smaller than the sum of its proper divisors (485672048).

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

255525552 is a wasteful number, since it uses less digits than its factorization.

255525552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 482 counting only the distinct ones).

The product of its digits is 125000, while the sum is 36.

The square root of 255525552 is about 15985.1666240925. The cubic root of 255525552 is about 634.5679181824.

The spelling of 255525552 in words is "two hundred fifty-five million, five hundred twenty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 199 222 241 296 333 398 444 482 592 597 666 723 796 888 964 1194 1332 1446 1592 1776 1791 1928 2169 2388 2664 2892 3184 3582 3856 4338 4776 5328 5784 7164 7363 8676 8917 9552 11568 14328 14726 17352 17834 22089 26751 28656 29452 34704 35668 44178 47959 53502 58904 66267 71336 80253 88356 95918 107004 117808 132534 142672 143877 160506 176712 191836 214008 265068 287754 321012 353424 383672 428016 431631 530136 575508 642024 767344 863262 1060272 1151016 1284048 1726524 1774483 2302032 3453048 3548966 5323449 6906096 7097932 10646898 14195864 15970347 21293796 28391728 31940694 42587592 63881388 85175184 127762776 255525552