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425047824 = 24384049
BaseRepresentation
bin11001010101011…
…011011100010000
31002121210200000000
4121111123130100
51332303012244
6110102130000
713350563325
oct3125333420
91077720000
10425047824
111a8a237a3
12ba420900
136a0a14b6
1440644b4c
15274b0169
hex1955b710

425047824 has 90 divisors (see below), whose sum is σ = 1235537550. Its totient is φ = 141647616.

The previous prime is 425047813. The next prime is 425047849. The reversal of 425047824 is 428740524.

It can be written as a sum of positive squares in only one way, i.e., 317552400 + 107495424 = 17820^2 + 10368^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 102952 + ... + 107000.

It is an arithmetic number, because the mean of its divisors is an integer number (13728195).

Almost surely, 2425047824 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 425047824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (617768775).

425047824 is an abundant number, since it is smaller than the sum of its proper divisors (810489726).

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

425047824 is an frugal number, since it uses more digits than its factorization.

425047824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4081 (or 4054 counting only the distinct ones).

The product of its (nonzero) digits is 71680, while the sum is 36.

The square root of 425047824 is about 20616.6879978332. The cubic root of 425047824 is about 751.8754980998.

The spelling of 425047824 in words is "four hundred twenty-five million, forty-seven thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 729 972 1296 1458 1944 2187 2916 3888 4049 4374 5832 6561 8098 8748 11664 12147 13122 16196 17496 24294 26244 32392 34992 36441 48588 52488 64784 72882 97176 104976 109323 145764 194352 218646 291528 327969 437292 583056 655938 874584 983907 1311876 1749168 1967814 2623752 2951721 3935628 5247504 5903442 7871256 8855163 11806884 15742512 17710326 23613768 26565489 35420652 47227536 53130978 70841304 106261956 141682608 212523912 425047824