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2490332625 = 325311613299
BaseRepresentation
bin1001010001101111…
…0111010111010001
320102120000000010200
42110123313113101
520100011121000
61051040245413
7115466322654
oct22433672721
96376000120
102490332625
111068800840
12596010869
13308c26101
14198a5589b
15e896b500
hex946f75d1

2490332625 has 96 divisors (see below), whose sum is σ = 4979145600. Its totient is φ = 1187280000.

The previous prime is 2490332623. The next prime is 2490332633. The reversal of 2490332625 is 5262330942.

It is a happy number.

2490332625 is a `hidden beast` number, since 24 + 9 + 0 + 3 + 3 + 2 + 625 = 666.

It is not a de Polignac number, because 2490332625 - 21 = 2490332623 is a prime.

It is a super-3 number, since 3×24903326253 (a number of 29 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2490332625.

It is not an unprimeable number, because it can be changed into a prime (2490332623) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 753226 + ... + 756524.

It is an arithmetic number, because the mean of its divisors is an integer number (51866100).

Almost surely, 22490332625 is an apocalyptic number.

2490332625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2490332625 is a deficient number, since it is larger than the sum of its proper divisors (2488812975).

2490332625 is a wasteful number, since it uses less digits than its factorization.

2490332625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3392 (or 3379 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 2490332625 is about 49903.2326107237. The cubic root of 2490332625 is about 1355.4571289342.

The spelling of 2490332625 in words is "two billion, four hundred ninety million, three hundred thirty-two thousand, six hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 61 75 99 125 165 183 225 275 305 375 495 549 671 825 915 1125 1375 1525 2013 2475 2745 3299 3355 4125 4575 6039 7625 9897 10065 12375 13725 16495 16775 22875 29691 30195 36289 49485 50325 68625 82475 83875 108867 148455 150975 181445 201239 247425 251625 326601 412375 544335 603717 742275 754875 907225 1006195 1237125 1633005 1811151 2213629 2721675 3018585 3711375 4536125 5030975 6640887 8165025 9055755 11068145 13608375 15092925 19922661 25154875 33204435 40825125 45278775 55340725 75464625 99613305 166022175 226393875 276703625 498066525 830110875 2490332625