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2692025480 = 235179740813
BaseRepresentation
bin1010000001110101…
…0000110010001000
320221121112001201102
42200131100302020
521003124303410
61123043240532
7123465560534
oct24035206210
96847461642
102692025480
11116163a651
12631679148
1333b953ab1
141b7758bc4
1510b50c2a5
hexa0750c88

2692025480 has 64 divisors (see below), whose sum is σ = 6479630640. Its totient is φ = 1002995712.

The previous prime is 2692025473. The next prime is 2692025521. The reversal of 2692025480 is 845202962.

It can be written as a sum of positive squares in 8 ways, for example, as 2364487876 + 327537604 = 48626^2 + 18098^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45554 + ... + 86366.

Almost surely, 22692025480 is an apocalyptic number.

2692025480 is a gapful number since it is divisible by the number (20) 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 2692025480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3239815320).

2692025480 is an abundant number, since it is smaller than the sum of its proper divisors (3787605160).

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

2692025480 is a wasteful number, since it uses less digits than its factorization.

2692025480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40938 (or 40934 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 38.

The square root of 2692025480 is about 51884.7326291656. The cubic root of 2692025480 is about 1391.1043929010.

The spelling of 2692025480 in words is "two billion, six hundred ninety-two million, twenty-five thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 97 136 170 194 340 388 485 680 776 970 1649 1940 3298 3880 6596 8245 13192 16490 32980 40813 65960 81626 163252 204065 326504 408130 693821 816260 1387642 1632520 2775284 3469105 3958861 5550568 6938210 7917722 13876420 15835444 19794305 27752840 31670888 39588610 67300637 79177220 134601274 158354440 269202548 336503185 538405096 673006370 1346012740 2692025480