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479511942 = 23731317923
BaseRepresentation
bin11100100101001…
…100010110000110
31020102021201201120
4130211030112012
51440223340232
6115325334410
714611533000
oct3445142606
91212251646
10479511942
11226743468
12114707406
13784607a0
1447981370
152c16c92c
hex1c94c586

479511942 has 64 divisors (see below), whose sum is σ = 1204492800. Its totient is φ = 126457632.

The previous prime is 479511913. The next prime is 479511947. The reversal of 479511942 is 249115974.

It is a super-2 number, since 2×4795119422 = 459863405041222728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 479511894 and 479511903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (479511947) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17793 + ... + 35715.

It is an arithmetic number, because the mean of its divisors is an integer number (18820200).

Almost surely, 2479511942 is an apocalyptic number.

479511942 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 479511942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (602246400).

479511942 is an abundant number, since it is smaller than the sum of its proper divisors (724980858).

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

479511942 is a wasteful number, since it uses less digits than its factorization.

479511942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17962 (or 17948 counting only the distinct ones).

The product of its digits is 90720, while the sum is 42.

The square root of 479511942 is about 21897.7611184340. The cubic root of 479511942 is about 782.7080656750.

The spelling of 479511942 in words is "four hundred seventy-nine million, five hundred eleven thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 343 546 637 686 1029 1274 1911 2058 3822 4459 8918 13377 17923 26754 35846 53769 107538 125461 232999 250922 376383 465998 698997 752766 878227 1397994 1630993 1756454 2634681 3261986 4892979 5269362 6147589 9785958 11416951 12295178 18442767 22833902 34250853 36885534 68501706 79918657 159837314 239755971 479511942