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4956506808 = 23311172348017
BaseRepresentation
bin1001001110110111…
…00100101010111000
3110210102112122010020
410213123210222320
540122331204213
62135455050440
7233553420111
oct44733445270
913712478106
104956506808
112113900a20
12b63b10a20
1360cb41086
143503bd208
151e0214923
hex1276e4ab8

4956506808 has 128 divisors (see below), whose sum is σ = 14935518720. Its totient is φ = 1352130560.

The previous prime is 4956506761. The next prime is 4956506809. The reversal of 4956506808 is 8086056594.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4956506809) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 79216 + ... + 127232.

It is an arithmetic number, because the mean of its divisors is an integer number (116683740).

Almost surely, 24956506808 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 4956506808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7467759360).

4956506808 is an abundant number, since it is smaller than the sum of its proper divisors (9979011912).

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

4956506808 is a wasteful number, since it uses less digits than its factorization.

4956506808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48077 (or 48073 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 51.

The square root of 4956506808 is about 70402.4630819121. The cubic root of 4956506808 is about 1705.0033462552.

The spelling of 4956506808 in words is "four billion, nine hundred fifty-six million, five hundred six thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 11 12 17 22 23 24 33 34 44 46 51 66 68 69 88 92 102 132 136 138 184 187 204 253 264 276 374 391 408 506 552 561 748 759 782 1012 1122 1173 1496 1518 1564 2024 2244 2346 3036 3128 4301 4488 4692 6072 8602 9384 12903 17204 25806 34408 48017 51612 96034 103224 144051 192068 288102 384136 528187 576204 816289 1056374 1104391 1152408 1584561 1632578 2112748 2208782 2448867 3169122 3265156 3313173 4225496 4417564 4897734 6338244 6530312 6626346 8835128 8979179 9795468 12148301 12676488 13252692 17958358 18774647 19590936 24296602 26505384 26937537 35916716 36444903 37549294 48593204 53875074 56323941 71833432 72889806 75098588 97186408 107750148 112647882 145779612 150197176 206521117 215500296 225295764 291559224 413042234 450591528 619563351 826084468 1239126702 1652168936 2478253404 4956506808