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2505975552 = 28321087663
BaseRepresentation
bin1001010101011110…
…0010011100000000
320110122102202012100
42111113202130000
520113012204202
61052355430400
7116046304113
oct22527423400
96418382170
102505975552
111076615583
1259b2b5400
1330c242292
1419ab6857a
15ea00b41c
hex955e2700

2505975552 has 54 divisors (see below), whose sum is σ = 7225351952. Its totient is φ = 835324416.

The previous prime is 2505975547. The next prime is 2505975653. The reversal of 2505975552 is 2555795052.

It is a happy number.

2505975552 is a `hidden beast` number, since 2 + 5 + 0 + 5 + 97 + 5 + 552 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 2505975498 and 2505975507.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 541528 + ... + 546135.

Almost surely, 22505975552 is an apocalyptic number.

It is an amenable number.

2505975552 is an abundant number, since it is smaller than the sum of its proper divisors (4719376400).

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

2505975552 is a wasteful number, since it uses less digits than its factorization.

2505975552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087685 (or 1087668 counting only the distinct ones).

The product of its (nonzero) digits is 787500, while the sum is 45.

The square root of 2505975552 is about 50059.7198553887. The cubic root of 2505975552 is about 1358.2892907981.

The spelling of 2505975552 in words is "two billion, five hundred five million, nine hundred seventy-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 1087663 2175326 3262989 4350652 6525978 8701304 9788967 13051956 17402608 19577934 26103912 34805216 39155868 52207824 69610432 78311736 104415648 139220864 156623472 208831296 278441728 313246944 417662592 626493888 835325184 1252987776 2505975552