Search a number
-
+
4283399424 = 28317378867
BaseRepresentation
bin1111111101001111…
…0111110100000000
3102001111222020101010
43333103313310000
532233022240144
61545012040520
7211101202653
oct37723676400
912044866333
104283399424
1118a895a427
129b6603140
13533559495
142c8c4589a
151a10a55b9
hexff4f7d00

4283399424 has 144 divisors (see below), whose sum is σ = 12398315328. Its totient is φ = 1307344896.

The previous prime is 4283399401. The next prime is 4283399431. The reversal of 4283399424 is 4249933824.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478639 + ... + 487505.

It is an arithmetic number, because the mean of its divisors is an integer number (86099412).

Almost surely, 24283399424 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 4283399424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6199157664).

4283399424 is an abundant number, since it is smaller than the sum of its proper divisors (8114915904).

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

4283399424 is a wasteful number, since it uses less digits than its factorization.

4283399424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8940 (or 8926 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 48.

The square root of 4283399424 is about 65447.6846343704. The cubic root of 4283399424 is about 1624.0380166952.

The spelling of 4283399424 in words is "four billion, two hundred eighty-three million, three hundred ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 37 48 51 64 68 74 96 102 111 128 136 148 192 204 222 256 272 296 384 408 444 544 592 629 768 816 888 1088 1184 1258 1632 1776 1887 2176 2368 2516 3264 3552 3774 4352 4736 5032 6528 7104 7548 8867 9472 10064 13056 14208 15096 17734 20128 26601 28416 30192 35468 40256 53202 60384 70936 80512 106404 120768 141872 150739 161024 212808 241536 283744 301478 328079 425616 452217 483072 567488 602956 656158 851232 904434 984237 1134976 1205912 1312316 1702464 1808868 1968474 2269952 2411824 2624632 3404928 3617736 3936948 4823648 5249264 5577343 6809856 7235472 7873896 9647296 10498528 11154686 14470944 15747792 16732029 19294592 20997056 22309372 28941888 31495584 33464058 38589184 41994112 44618744 57883776 62991168 66928116 83988224 89237488 115767552 125982336 133856232 178474976 251964672 267712464 356949952 535424928 713899904 1070849856 1427799808 2141699712 4283399424