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2494403136 = 263220812
BaseRepresentation
bin1001010010101101…
…1001001001000000
320102211122210211100
42110223121021000
520102031400021
61051303414400
7115546035231
oct22453311100
96384583740
102494403136
111070030aa5
12597454400
13309a1cab4
141993d5088
15e8ec2626
hex94ad9240

2494403136 has 63 divisors (see below), whose sum is σ = 7153193593. Its totient is φ = 831068160.

The previous prime is 2494403113. The next prime is 2494403143. The reversal of 2494403136 is 6313044942.

It is a happy number.

The square root of 2494403136 is 49944.

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

2494403136 is a `hidden beast` number, since 249 + 4 + 403 + 1 + 3 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 945193536 + 1549209600 = 30744^2 + 39360^2 .

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 2494403136.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1197616 + ... + 1199696.

Almost surely, 22494403136 is an apocalyptic number.

2494403136 is the 49944-th square number.

It is an amenable number.

2494403136 is an abundant number, since it is smaller than the sum of its proper divisors (4658790457).

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

2494403136 is an frugal number, since it uses more digits than its factorization.

2494403136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4180 (or 2086 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The cubic root of 2494403136 is about 1356.1952364616.

Multiplying 2494403136 by its sum of digits (36), we get a square (89798512896 = 2996642).

2494403136 divided by its sum of digits (36) gives a square (69288976 = 83242).

The spelling of 2494403136 in words is "two billion, four hundred ninety-four million, four hundred three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2081 4162 6243 8324 12486 16648 18729 24972 33296 37458 49944 66592 74916 99888 133184 149832 199776 299664 399552 599328 1198656 4330561 8661122 12991683 17322244 25983366 34644488 38975049 51966732 69288976 77950098 103933464 138577952 155900196 207866928 277155904 311800392 415733856 623600784 831467712 1247201568 2494403136