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2496801024 = 28343472
BaseRepresentation
bin1001010011010010…
…0010100100000000
320110000011122010000
42110310202210000
520103140113044
61051431040000
7115605313164
oct22464424400
96400148100
102496801024
111071419623
12598210000
1330a37c373
1419985aca4
15e92e7d69
hex94d22900

2496801024 has 135 divisors (see below), whose sum is σ = 7466526067. Its totient is φ = 829868544.

The previous prime is 2496801017. The next prime is 2496801031. The reversal of 2496801024 is 4201086942.

The square root of 2496801024 is 49968.

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

It is an interprime number because it is at equal distance from previous prime (2496801017) and next prime (2496801031).

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2496801024.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 7195219 + ... + 7195565.

Almost surely, 22496801024 is an apocalyptic number.

2496801024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

2496801024 is the 49968-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2496801024

2496801024 is an abundant number, since it is smaller than the sum of its proper divisors (4969725043).

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

2496801024 is an frugal number, since it uses more digits than its factorization.

2496801024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The cubic root of 2496801024 is about 1356.6296707536.

Multiplying 2496801024 by its sum of digits (36), we get a square (89884836864 = 2998082).

2496801024 divided by its sum of digits (36) gives a square (69355584 = 83282).

Adding to 2496801024 its reverse (4201086942), we get a palindrome (6697887966).

The spelling of 2496801024 in words is "two billion, four hundred ninety-six million, eight hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 347 384 432 576 648 694 768 864 1041 1152 1296 1388 1728 2082 2304 2592 2776 3123 3456 4164 5184 5552 6246 6912 8328 9369 10368 11104 12492 16656 18738 20736 22208 24984 28107 33312 37476 44416 49968 56214 66624 74952 88832 99936 112428 120409 133248 149904 199872 224856 240818 266496 299808 361227 399744 449712 481636 599616 722454 799488 899424 963272 1083681 1199232 1444908 1798848 1926544 2167362 2398464 2889816 3251043 3597696 3853088 4334724 5779632 6502086 7195392 7706176 8669448 9753129 11559264 13004172 15412352 17338896 19506258 23118528 26008344 30824704 34677792 39012516 46237056 52016688 69355584 78025032 92474112 104033376 138711168 156050064 208066752 277422336 312100128 416133504 624200256 832267008 1248400512 2496801024