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5250964752 = 2433117315137
BaseRepresentation
bin1001110001111101…
…10101110100010000
3111112221121122111000
410320332311310100
541223221333002
62225014222000
7244060315065
oct47076656420
914487548430
105250964752
11225503a5a0
121026654900
13658b4b447
1437b54cc6c
1520aecb61c
hex138fb5d10

5250964752 has 160 divisors (see below), whose sum is σ = 16668754560. Its totient is φ = 1569300480.

The previous prime is 5250964727. The next prime is 5250964757. The reversal of 5250964752 is 2574690525.

5250964752 is a `hidden beast` number, since 52 + 509 + 6 + 47 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5250964698 and 5250964707.

It is not an unprimeable number, because it can be changed into a prime (5250964757) 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 31 ways as a sum of consecutive naturals, for example, 339328 + ... + 354464.

It is an arithmetic number, because the mean of its divisors is an integer number (104179716).

Almost surely, 25250964752 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 5250964752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8334377280).

5250964752 is an abundant number, since it is smaller than the sum of its proper divisors (11417789808).

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

5250964752 is a wasteful number, since it uses less digits than its factorization.

5250964752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15238 (or 15226 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The square root of 5250964752 is about 72463.5408464146. The cubic root of 5250964752 is about 1738.1197763563.

The spelling of 5250964752 in words is "five billion, two hundred fifty million, nine hundred sixty-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 73 88 99 108 132 144 146 176 198 216 219 264 292 297 396 432 438 528 584 594 657 792 803 876 1168 1188 1314 1584 1606 1752 1971 2376 2409 2628 3212 3504 3942 4752 4818 5256 6424 7227 7884 9636 10512 12848 14454 15137 15768 19272 21681 28908 30274 31536 38544 43362 45411 57816 60548 86724 90822 115632 121096 136233 166507 173448 181644 242192 272466 333014 346896 363288 408699 499521 544932 666028 726576 817398 999042 1089864 1105001 1332056 1498563 1634796 1998084 2179728 2210002 2664112 2997126 3269592 3315003 3996168 4420004 4495689 5994252 6539184 6630006 7992336 8840008 8991378 9945009 11988504 12155011 13260012 17680016 17982756 19890018 23977008 24310022 26520024 29835027 35965512 36465033 39780036 48620044 53040048 59670054 71931024 72930066 79560072 97240088 109395099 119340108 145860132 159120144 194480176 218790198 238680216 291720264 328185297 437580396 477360432 583440528 656370594 875160792 1312741188 1750321584 2625482376 5250964752