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4142797536 = 253231876267
BaseRepresentation
bin1111011011101110…
…0001001011100000
3101200201101220211210
43312323201023200
531441024010121
61523030310120
7204443124633
oct36673411340
911621356753
104142797536
111836557119
129774b8340
1351039b1b7
142b42c5c1a
15193a80876
hexf6ee12e0

4142797536 has 48 divisors (see below), whose sum is σ = 11347668864. Its totient is φ = 1320891264.

The previous prime is 4142797511. The next prime is 4142797567. The reversal of 4142797536 is 6357972414.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 935926 + ... + 940341.

It is an arithmetic number, because the mean of its divisors is an integer number (236409768).

Almost surely, 24142797536 is an apocalyptic number.

4142797536 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

4142797536 is an abundant number, since it is smaller than the sum of its proper divisors (7204871328).

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

4142797536 is a wasteful number, since it uses less digits than its factorization.

4142797536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1876303 (or 1876295 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 48.

The square root of 4142797536 is about 64364.5673954234. The cubic root of 4142797536 is about 1606.0703691767.

The spelling of 4142797536 in words is "four billion, one hundred forty-two million, seven hundred ninety-seven thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 69 92 96 138 184 276 368 552 736 1104 2208 1876267 3752534 5628801 7505068 11257602 15010136 22515204 30020272 43154141 45030408 60040544 86308282 90060816 129462423 172616564 180121632 258924846 345233128 517849692 690466256 1035699384 1380932512 2071398768 4142797536