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1393528900 = 225237332
BaseRepresentation
bin101001100001111…
…1001000001000100
310121010011121021111
41103003321001010
510323220411100
6350140054404
746350541321
oct12303710104
93533147244
101393528900
11655679985
1232a834404
1319292421a
14d3109b48
15825176ba
hex530f9044

1393528900 has 27 divisors (see below), whose sum is σ = 3024767991. Its totient is φ = 557262240.

The previous prime is 1393528889. The next prime is 1393528919. The reversal of 1393528900 is 98253931.

The square root of 1393528900 is 37330.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 12068676 + 1381460224 = 3474^2 + 37168^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 371434 + ... + 375166.

Almost surely, 21393528900 is an apocalyptic number.

1393528900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1393528900 is the 37330-th square number.

It is an amenable number.

1393528900 is an abundant number, since it is smaller than the sum of its proper divisors (1631239091).

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

1393528900 is an frugal number, since it uses more digits than its factorization.

1393528900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7480 (or 3740 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 40.

The cubic root of 1393528900 is about 1116.9626729447.

The spelling of 1393528900 in words is "one billion, three hundred ninety-three million, five hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3733 7466 14932 18665 37330 74660 93325 186650 373300 13935289 27870578 55741156 69676445 139352890 278705780 348382225 696764450 1393528900