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4752002352 = 243374635779
BaseRepresentation
bin1000110110011110…
…11100110100110000
3110021011201201202010
410123033130310300
534213003033402
62103311522520
7225521232156
oct43317346460
913234651663
104752002352
112019421779
12b07529440
135a966a716
143311873d6
151cc2baa6c
hex11b3dcd30

4752002352 has 80 divisors (see below), whose sum is σ = 12637207040. Its totient is φ = 1537595136.

The previous prime is 4752002347. The next prime is 4752002357. The reversal of 4752002352 is 2532002574.

It is an interprime number because it is at equal distance from previous prime (4752002347) and next prime (4752002357).

It is not an unprimeable number, because it can be changed into a prime (4752002357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 819399 + ... + 825177.

It is an arithmetic number, because the mean of its divisors is an integer number (157965088).

Almost surely, 24752002352 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 4752002352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6318603520).

4752002352 is an abundant number, since it is smaller than the sum of its proper divisors (7885204688).

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

4752002352 is a wasteful number, since it uses less digits than its factorization.

4752002352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6290 (or 6284 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 30.

The square root of 4752002352 is about 68934.7688180645. The cubic root of 4752002352 is about 1681.2238757668.

The spelling of 4752002352 in words is "four billion, seven hundred fifty-two million, two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 463 592 888 926 1389 1776 1852 2778 3704 5556 5779 7408 11112 11558 17131 17337 22224 23116 34262 34674 46232 51393 68524 69348 92464 102786 137048 138696 205572 213823 274096 277392 411144 427646 641469 822288 855292 1282938 1710584 2565876 2675677 3421168 5131752 5351354 8027031 10263504 10702708 16054062 21405416 32108124 42810832 64216248 99000049 128432496 198000098 297000147 396000196 594000294 792000392 1188000588 1584000784 2376001176 4752002352