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2152496025 = 345210312
BaseRepresentation
bin1000000001001100…
…0111101110011001
312120000022010110000
42000103013232121
513402014333100
6553331243213
7104224625421
oct20023075631
95500263400
102152496025
11a05034139
12500a49509
13283c3b3b4
14165c33481
15c8e86900
hex804c7b99

2152496025 has 45 divisors (see below), whose sum is σ = 3991037743. Its totient is φ = 1146884400.

The previous prime is 2152495991. The next prime is 2152496041. The reversal of 2152496025 is 5206942512.

The square root of 2152496025 is 46395.

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

2152496025 is a `hidden beast` number, since 2 + 1 + 5 + 2 + 49 + 602 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 774898569 + 1377597456 = 27837^2 + 37116^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 2152496025 - 27 = 2152495897 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2087260 + ... + 2088290.

Almost surely, 22152496025 is an apocalyptic number.

2152496025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2152496025 is the 46395-th square number.

2152496025 is the 23198-th centered octagonal number.

It is an amenable number.

2152496025 is a deficient number, since it is larger than the sum of its proper divisors (1838541718).

2152496025 is an frugal number, since it uses more digits than its factorization.

2152496025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2084 (or 1039 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The cubic root of 2152496025 is about 1291.1621490386.

Multiplying 2152496025 by its sum of digits (36), we get a square (77489856900 = 2783702).

The spelling of 2152496025 in words is "two billion, one hundred fifty-two million, four hundred ninety-six thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 1031 2025 3093 5155 9279 15465 25775 27837 46395 77325 83511 139185 231975 417555 695925 1062961 2087775 3188883 5314805 9566649 15944415 26574025 28699947 47833245 79722075 86099841 143499735 239166225 430499205 717498675 2152496025