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5245508352 = 28373726371
BaseRepresentation
bin1001110001010100…
…00001101100000000
3111112120100102201010
410320222001230000
541220322231402
62224301240520
7243663041160
oct47052015400
914476312633
105245508352
112251a53077
121024863140
1365798a9c6
1437a92c5a0
1520a79ea6c
hex138a81b00

5245508352 has 144 divisors (see below), whose sum is σ = 16386927872. Its totient is φ = 1458155520.

The previous prime is 5245508351. The next prime is 5245508369. The reversal of 5245508352 is 2538055425.

It is a self number, because there is not a number n which added to its sum of digits gives 5245508352.

It is not an unprimeable number, because it can be changed into a prime (5245508351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 185727 + ... + 212097.

Almost surely, 25245508352 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 5245508352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8193463936).

5245508352 is an abundant number, since it is smaller than the sum of its proper divisors (11141419520).

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

5245508352 is a wasteful number, since it uses less digits than its factorization.

5245508352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26434 (or 26420 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 39.

The square root of 5245508352 is about 72425.8817826887. The cubic root of 5245508352 is about 1737.5175274322.

The spelling of 5245508352 in words is "five billion, two hundred forty-five million, five hundred eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 37 42 48 56 64 74 84 96 111 112 128 148 168 192 222 224 256 259 296 336 384 444 448 518 592 672 768 777 888 896 1036 1184 1344 1554 1776 1792 2072 2368 2688 3108 3552 4144 4736 5376 6216 7104 8288 9472 12432 14208 16576 24864 26371 28416 33152 49728 52742 66304 79113 99456 105484 158226 184597 198912 210968 316452 369194 421936 553791 632904 738388 843872 975727 1107582 1265808 1476776 1687744 1951454 2215164 2531616 2927181 2953552 3375488 3902908 4430328 5063232 5854362 5907104 6750976 6830089 7805816 8860656 10126464 11708724 11814208 13660178 15611632 17721312 20252928 20490267 23417448 23628416 27320356 31223264 35442624 40980534 46834896 47256832 54640712 62446528 70885248 81961068 93669792 109281424 124893056 141770496 163922136 187339584 218562848 249786112 327844272 374679168 437125696 655688544 749358336 874251392 1311377088 1748502784 2622754176 5245508352