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424125464 = 237291791459
BaseRepresentation
bin11001010001111…
…010010000011000
31002120001210202112
4121101322100120
51332034003324
6110030251452
713340002250
oct3121722030
91076053675
10424125464
111a8453814
12ba056b88
1369b3a719
1440484960
152737bc0e
hex1947a418

424125464 has 64 divisors (see below), whose sum is σ = 946080000. Its totient is φ = 174400128.

The previous prime is 424125439. The next prime is 424125479. The reversal of 424125464 is 464521424.

It is a self number, because there is not a number n which added to its sum of digits gives 424125464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 289967 + ... + 291425.

It is an arithmetic number, because the mean of its divisors is an integer number (14782500).

Almost surely, 2424125464 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 424125464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (473040000).

424125464 is an abundant number, since it is smaller than the sum of its proper divisors (521954536).

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

424125464 is a wasteful number, since it uses less digits than its factorization.

424125464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1680 (or 1676 counting only the distinct ones).

The product of its digits is 30720, while the sum is 32.

The square root of 424125464 is about 20594.3065918715. The cubic root of 424125464 is about 751.3312439509.

Adding to 424125464 its reverse (464521424), we get a palindrome (888646888).

The spelling of 424125464 in words is "four hundred twenty-four million, one hundred twenty-five thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 29 56 58 116 179 203 232 358 406 716 812 1253 1432 1459 1624 2506 2918 5012 5191 5836 10024 10213 10382 11672 20426 20764 36337 40852 41528 42311 72674 81704 84622 145348 169244 261161 290696 296177 338488 522322 592354 1044644 1184708 1828127 2089288 2369416 3656254 7312508 7573669 14625016 15147338 30294676 53015683 60589352 106031366 212062732 424125464