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2492493012 = 2233173736691
BaseRepresentation
bin1001010010010000…
…0110110011010100
320102201001202122000
42110210012303110
520101034234022
61051154435300
7115523561322
oct22444066324
96381052560
102492493012
111069a46989
12596892b30
13309501549
14199058d12
15e8c466ac
hex94906cd4

2492493012 has 96 divisors (see below), whose sum is σ = 7027251840. Its totient is φ = 760803840.

The previous prime is 2492492987. The next prime is 2492493013. The reversal of 2492493012 is 2103942942.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2492493013) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 49587 + ... + 86277.

It is an arithmetic number, because the mean of its divisors is an integer number (73200540).

Almost surely, 22492493012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2492493012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3513625920).

2492493012 is an abundant number, since it is smaller than the sum of its proper divisors (4534758828).

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

2492493012 is a wasteful number, since it uses less digits than its factorization.

2492493012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36758 (or 36750 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 2492493012 is about 49924.8736803610. The cubic root of 2492493012 is about 1355.8489729205.

The spelling of 2492493012 in words is "two billion, four hundred ninety-two million, four hundred ninety-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 37 51 54 68 74 102 108 111 148 153 204 222 306 333 444 459 612 629 666 918 999 1258 1332 1836 1887 1998 2516 3774 3996 5661 7548 11322 16983 22644 33966 36691 67932 73382 110073 146764 220146 330219 440292 623747 660438 990657 1247494 1320876 1357567 1871241 1981314 2494988 2715134 3742482 3962628 4072701 5430268 5613723 7484964 8145402 11227446 12218103 16290804 16841169 22454892 23078639 24436206 33682338 36654309 46157278 48872412 67364676 69235917 73308618 92314556 138471834 146617236 207707751 276943668 415415502 623123253 830831004 1246246506 2492493012