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2493484008 = 2333183149271
BaseRepresentation
bin1001010010011111…
…1000101111101000
320102202221010000120
42110213320233220
520101312442013
61051232003240
7115535156451
oct22447705750
96382833016
102493484008
11106a563494
12597090520
1330978a632
14199236128
15e8d90123
hex949f8be8

2493484008 has 128 divisors (see below), whose sum is σ = 6580224000. Its totient is φ = 786412800.

The previous prime is 2493483991. The next prime is 2493484067. The reversal of 2493484008 is 8004843942.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9200913 + ... + 9201183.

It is an arithmetic number, because the mean of its divisors is an integer number (51408000).

Almost surely, 22493484008 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 2493484008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290112000).

2493484008 is an abundant number, since it is smaller than the sum of its proper divisors (4086739992).

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

2493484008 is a wasteful number, since it uses less digits than its factorization.

2493484008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 2493484008 is about 49934.7975664266. The cubic root of 2493484008 is about 1356.0286408096.

The spelling of 2493484008 in words is "two billion, four hundred ninety-three million, four hundred eighty-four thousand, eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 83 93 124 149 166 186 248 249 271 298 332 372 447 498 542 596 664 744 813 894 996 1084 1192 1626 1788 1992 2168 2573 3252 3576 4619 5146 6504 7719 8401 9238 10292 12367 13857 15438 16802 18476 20584 22493 24734 25203 27714 30876 33604 36952 37101 40379 44986 49468 50406 55428 61752 67208 67479 74202 80758 89972 98936 100812 110856 121137 134958 148404 161516 179944 201624 242274 269916 296808 323032 383377 484548 539832 697283 766754 969096 1150131 1251749 1394566 1533508 2091849 2300262 2503498 2789132 3067016 3351457 3755247 4183698 4600524 5006996 5578264 6702914 7510494 8367396 9201048 10013992 10054371 13405828 15020988 16734792 20108742 26811656 30041976 40217484 80434968 103895167 207790334 311685501 415580668 623371002 831161336 1246742004 2493484008