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4132249480 = 235853712101
BaseRepresentation
bin1111011001001101…
…0001111110001000
3101122222120000122001
43312103101332020
531430323440410
61522012240344
7204254353402
oct36623217610
911588500561
104132249480
111830602217
12973a700b4
1350b147048
142b2b3bb72
15192b9a33a
hexf64d1f88

4132249480 has 32 divisors (see below), whose sum is σ = 9299418840. Its totient is φ = 1652569600.

The previous prime is 4132249453. The next prime is 4132249549. The reversal of 4132249480 is 849422314.

It can be written as a sum of positive squares in 4 ways, for example, as 4053359556 + 78889924 = 63666^2 + 8882^2 .

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 7 ways as a sum of consecutive naturals, for example, 335430 + ... + 347530.

Almost surely, 24132249480 is an apocalyptic number.

4132249480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4132249480 is an abundant number, since it is smaller than the sum of its proper divisors (5167169360).

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

4132249480 is a wasteful number, since it uses less digits than its factorization.

4132249480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20649 (or 20645 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 37.

The square root of 4132249480 is about 64282.5752439959. The cubic root of 4132249480 is about 1604.7061285249.

The spelling of 4132249480 in words is "four billion, one hundred thirty-two million, two hundred forty-nine thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 8537 12101 17074 24202 34148 42685 48404 60505 68296 85370 96808 121010 170740 242020 341480 484040 103306237 206612474 413224948 516531185 826449896 1033062370 2066124740 4132249480