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4472252832 = 253171927591
BaseRepresentation
bin1000010101001000…
…10010100110100000
3102112200022222112210
410022210102212200
533124344042312
62015435522120
7215553343665
oct41244224640
912480288483
104472252832
111995519823
12a498b9340
13563710068
14305d65a6c
151b295be3c
hex10a9129a0

4472252832 has 144 divisors (see below), whose sum is σ = 13120615872. Its totient is φ = 1329039360.

The previous prime is 4472252791. The next prime is 4472252861. The reversal of 4472252832 is 2382522744.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 585357 + ... + 592947.

It is an arithmetic number, because the mean of its divisors is an integer number (91115388).

Almost surely, 24472252832 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 4472252832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6560307936).

4472252832 is an abundant number, since it is smaller than the sum of its proper divisors (8648363040).

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

4472252832 is a wasteful number, since it uses less digits than its factorization.

4472252832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7659 (or 7632 counting only the distinct ones).

The product of its digits is 215040, while the sum is 39.

The square root of 4472252832 is about 66874.9043513335. The cubic root of 4472252832 is about 1647.5633249354.

The spelling of 4472252832 in words is "four billion, four hundred seventy-two million, two hundred fifty-two thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 68 76 96 102 114 136 152 204 228 272 304 323 361 408 456 544 608 646 722 816 912 969 1083 1292 1444 1632 1824 1938 2166 2584 2888 3876 4332 5168 5776 6137 7591 7752 8664 10336 11552 12274 15182 15504 17328 18411 22773 24548 30364 31008 34656 36822 45546 49096 60728 73644 91092 98192 121456 129047 144229 147288 182184 196384 242912 258094 288458 294576 364368 387141 432687 516188 576916 589152 728736 774282 865374 1032376 1153832 1548564 1730748 2064752 2307664 2451893 2740351 3097128 3461496 4129504 4615328 4903786 5480702 6194256 6922992 7355679 8221053 9807572 10961404 12388512 13845984 14711358 16442106 19615144 21922808 29422716 32884212 39230288 43845616 46585967 58845432 65768424 78460576 87691232 93171934 117690864 131536848 139757901 186343868 235381728 263073696 279515802 372687736 559031604 745375472 1118063208 1490750944 2236126416 4472252832