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4760534272 = 281341139251
BaseRepresentation
bin1000110111011111…
…11111110100000000
3110021202210012100011
410123233333310000
534222144044042
62104214434304
7225653605444
oct43357776400
913252705304
104760534272
11202321994a
12b0a362994
135ab366cb0
14332368824
151cce03a17
hex11bbffd00

4760534272 has 144 divisors (see below), whose sum is σ = 10600511040. Its totient is φ = 2119680000.

The previous prime is 4760534269. The next prime is 4760534287. The reversal of 4760534272 is 2724350674.

It is a happy number.

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, 18966147 + ... + 18966397.

It is an arithmetic number, because the mean of its divisors is an integer number (73614660).

Almost surely, 24760534272 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 4760534272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5300255520).

4760534272 is an abundant number, since it is smaller than the sum of its proper divisors (5839976768).

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

4760534272 is a wasteful number, since it uses less digits than its factorization.

4760534272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 446 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 40.

The square root of 4760534272 is about 68996.6250768833. The cubic root of 4760534272 is about 1682.2294512750.

The spelling of 4760534272 in words is "four billion, seven hundred sixty million, five hundred thirty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 41 52 64 82 104 128 139 164 208 251 256 278 328 416 502 533 556 656 832 1004 1066 1112 1312 1664 1807 2008 2132 2224 2624 3263 3328 3614 4016 4264 4448 5248 5699 6526 7228 8032 8528 8896 10291 10496 11398 13052 14456 16064 17056 17792 20582 22796 26104 28912 32128 34112 34889 35584 41164 45592 52208 57824 64256 68224 69778 74087 82328 91184 104416 115648 133783 136448 139556 148174 164656 182368 208832 231296 267566 279112 296348 329312 364736 417664 453557 462592 535132 558224 592696 658624 729472 835328 907114 1070264 1116448 1185392 1317248 1430449 1458944 1814228 2140528 2232896 2370784 2634496 2860898 3628456 4281056 4465792 4741568 5721796 7256912 8562112 8931584 9483136 11443592 14513824 17124224 18595837 18966272 22887184 29027648 34248448 37191674 45774368 58055296 74383348 91548736 116110592 148766696 183097472 297533392 366194944 595066784 1190133568 2380267136 4760534272