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63401424 = 24329371231
BaseRepresentation
bin1111000111011…
…0110111010000
311102022010101220
43301312313100
5112212321144
610142525040
71366621542
oct361666720
9142263356
1063401424
1132874479
1219296780
131019b248
1485c5692
155875919
hex3c76dd0

63401424 has 80 divisors (see below), whose sum is σ = 174155520. Its totient is φ = 19837440.

The previous prime is 63401419. The next prime is 63401441. The reversal of 63401424 is 42410436.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 63401394 and 63401403.

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, 50889 + ... + 52119.

It is an arithmetic number, because the mean of its divisors is an integer number (2176944).

Almost surely, 263401424 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 63401424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87077760).

63401424 is an abundant number, since it is smaller than the sum of its proper divisors (110754096).

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

63401424 is a wasteful number, since it uses less digits than its factorization.

63401424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1308 (or 1302 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 63401424 is about 7962.5011145996. The cubic root of 63401424 is about 398.7490586090.

The spelling of 63401424 in words is "sixty-three million, four hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 37 48 58 74 87 111 116 148 174 222 232 296 348 444 464 592 696 888 1073 1231 1392 1776 2146 2462 3219 3693 4292 4924 6438 7386 8584 9848 12876 14772 17168 19696 25752 29544 35699 45547 51504 59088 71398 91094 107097 136641 142796 182188 214194 273282 285592 364376 428388 546564 571184 728752 856776 1093128 1320863 1713552 2186256 2641726 3962589 5283452 7925178 10566904 15850356 21133808 31700712 63401424