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722749456 = 24112132472
BaseRepresentation
bin101011000101000…
…100100000010000
31212100222110212101
4223011010200100
52440010440311
6155415010144
723624161162
oct5305044020
91770873771
10722749456
11340a78400
12182069954
13b6976100
146bdba932
15436b7ec1
hex2b144810

722749456 has 135 divisors (see below), whose sum is σ = 1702926813. Its totient is φ = 296799360.

The previous prime is 722749451. The next prime is 722749477. The reversal of 722749456 is 654947227.

It is a happy number.

The square root of 722749456 is 26884.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 106915600 + 615833856 = 10340^2 + 24816^2 .

It is a super-2 number, since 2×7227494562 = 1044733552296591872, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (722749451) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15377625 + ... + 15377671.

Almost surely, 2722749456 is an apocalyptic number.

722749456 is the 26884-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 722749456

722749456 is an abundant number, since it is smaller than the sum of its proper divisors (980177357).

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

722749456 is a wasteful number, since it uses less digits than its factorization.

722749456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 73 counting only the distinct ones).

The product of its digits is 846720, while the sum is 46.

The cubic root of 722749456 is about 897.4203728727.

The spelling of 722749456 in words is "seven hundred twenty-two million, seven hundred forty-nine thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 44 47 52 88 94 104 121 143 169 176 188 208 242 286 338 376 484 517 572 611 676 752 968 1034 1144 1222 1352 1573 1859 1936 2068 2209 2288 2444 2704 3146 3718 4136 4418 4888 5687 6292 6721 7436 7943 8272 8836 9776 11374 12584 13442 14872 15886 17672 20449 22748 24299 25168 26884 28717 29744 31772 35344 40898 45496 48598 53768 57434 63544 73931 81796 87373 90992 97196 107536 114868 127088 147862 163592 174746 194392 229736 267289 295724 315887 327184 349492 373321 388784 459472 534578 591448 631774 698984 746642 961103 1069156 1182896 1263548 1397968 1493284 1922206 2138312 2527096 2986568 3474757 3844412 4106531 4276624 5054192 5973136 6949514 7688824 8213062 13899028 15377648 16426124 27798056 32852248 45171841 55596112 65704496 90343682 180687364 361374728 722749456