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5246816352 = 253177434327
BaseRepresentation
bin1001110001011110…
…00001000001100000
3111112122210212221120
410320233001001200
541221141110402
62224345252240
7244010126451
oct47057010140
914478725846
105246816352
112252766868
121025194080
1365802817b
1437ab8d128
1520a95c3bc
hex138bc1060

5246816352 has 96 divisors (see below), whose sum is σ = 14606065152. Its totient is φ = 1643464704.

The previous prime is 5246816303. The next prime is 5246816357. The reversal of 5246816352 is 2536186425.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×52468163523 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5246816357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1210413 + ... + 1214739.

It is an arithmetic number, because the mean of its divisors is an integer number (152146512).

Almost surely, 25246816352 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 5246816352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7303032576).

5246816352 is an abundant number, since it is smaller than the sum of its proper divisors (9359248800).

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

5246816352 is a wasteful number, since it uses less digits than its factorization.

5246816352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5100 (or 5092 counting only the distinct ones).

The product of its digits is 345600, while the sum is 42.

The square root of 5246816352 is about 72434.9111409685. The cubic root of 5246816352 is about 1737.6619356826.

The spelling of 5246816352 in words is "five billion, two hundred forty-six million, eight hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 68 96 102 136 204 272 408 544 743 816 1486 1632 2229 2972 4327 4458 5944 8654 8916 11888 12631 12981 17308 17832 23776 25262 25962 34616 35664 37893 50524 51924 69232 71328 73559 75786 101048 103848 138464 147118 151572 202096 207696 220677 294236 303144 404192 415392 441354 588472 606288 882708 1176944 1212576 1765416 2353888 3214961 3530832 6429922 7061664 9644883 12859844 19289766 25719688 38579532 51439376 54654337 77159064 102878752 109308674 154318128 163963011 218617348 308636256 327926022 437234696 655852044 874469392 1311704088 1748938784 2623408176 5246816352