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2484201312 = 25343725903
BaseRepresentation
bin1001010000010001…
…1110011101100000
320102010110111120000
42110010132131200
520041423420222
61050301020000
7115363235265
oct22404363540
96363414500
102484201312
1110652a323a
12593b54600
1330788a408
14197cdb26c
15e81599ac
hex9411e760

2484201312 has 120 divisors (see below), whose sum is σ = 7503715296. Its totient is φ = 805655808.

The previous prime is 2484201287. The next prime is 2484201329. The reversal of 2484201312 is 2131024842.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 82953 + ... + 108855.

Almost surely, 22484201312 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 2484201312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3751857648).

2484201312 is an abundant number, since it is smaller than the sum of its proper divisors (5019513984).

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

2484201312 is a wasteful number, since it uses less digits than its factorization.

2484201312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25962 (or 25945 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 2484201312 is about 49841.7627296628. The cubic root of 2484201312 is about 1354.3438155768.

The spelling of 2484201312 in words is "two billion, four hundred eighty-four million, two hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 81 96 108 111 144 148 162 216 222 288 296 324 333 432 444 592 648 666 864 888 999 1184 1296 1332 1776 1998 2592 2664 2997 3552 3996 5328 5994 7992 10656 11988 15984 23976 25903 31968 47952 51806 77709 95904 103612 155418 207224 233127 310836 414448 466254 621672 699381 828896 932508 958411 1243344 1398762 1865016 1916822 2098143 2486688 2797524 2875233 3730032 3833644 4196286 5595048 5750466 7460064 7667288 8392572 8625699 11190096 11500932 15334576 16785144 17251398 22380192 23001864 25877097 30669152 33570288 34502796 46003728 51754194 67140576 69005592 77631291 92007456 103508388 138011184 155262582 207016776 276022368 310525164 414033552 621050328 828067104 1242100656 2484201312