Search a number
-
+
424012544 = 2823231101
BaseRepresentation
bin11001010001011…
…110101100000000
31002112212001212022
4121101132230000
51332021400134
6110024021012
713336022114
oct3121365400
91075761768
10424012544
111a838699a
12ba001768
1369acb1c7
1440455744
152735852e
hex1945eb00

424012544 has 108 divisors (see below), whose sum is σ = 922350912. Its totient is φ = 194304000.

The previous prime is 424012517. The next prime is 424012553. The reversal of 424012544 is 445210424.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4198094 + ... + 4198194.

Almost surely, 2424012544 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 424012544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (461175456).

424012544 is an abundant number, since it is smaller than the sum of its proper divisors (498338368).

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

424012544 is a wasteful number, since it uses less digits than its factorization.

424012544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 26.

The square root of 424012544 is about 20591.5648749676. The cubic root of 424012544 is about 751.2645593951.

Adding to 424012544 its reverse (445210424), we get a palindrome (869222968).

The spelling of 424012544 in words is "four hundred twenty-four million, twelve thousand, five hundred forty-four".

Divisors: 1 2 4 8 16 23 31 32 46 62 64 92 101 124 128 184 202 248 256 368 404 496 529 713 736 808 992 1058 1426 1472 1616 1984 2116 2323 2852 2944 3131 3232 3968 4232 4646 5704 5888 6262 6464 7936 8464 9292 11408 12524 12928 16399 16928 18584 22816 25048 25856 32798 33856 37168 45632 50096 53429 65596 67712 72013 74336 91264 100192 106858 131192 135424 144026 148672 182528 200384 213716 262384 288052 297344 400768 427432 524768 576104 594688 801536 854864 1049536 1152208 1656299 1709728 2099072 2304416 3312598 3419456 4198144 4608832 6625196 6838912 9217664 13250392 13677824 18435328 26500784 53001568 106003136 212006272 424012544