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4092872652 = 2234112275059
BaseRepresentation
bin1111001111110100…
…0100011111001100
3101120020110110210000
43303331010133030
531340233411102
61514044244300
7203265562221
oct36375043714
911506413700
104092872652
111810357890
12962840690
13502c3b04b
142ab80b948
1518e4bd01c
hexf3f447cc

4092872652 has 120 divisors (see below), whose sum is σ = 11726003520. Its totient is φ = 1234556640.

The previous prime is 4092872633. The next prime is 4092872687. The reversal of 4092872652 is 2562782904.

It is a junction number, because it is equal to n+sod(n) for n = 4092872598 and 4092872607.

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 39 ways as a sum of consecutive naturals, for example, 806499 + ... + 811557.

It is an arithmetic number, because the mean of its divisors is an integer number (97716696).

Almost surely, 24092872652 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 4092872652, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5863001760).

4092872652 is an abundant number, since it is smaller than the sum of its proper divisors (7633130868).

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

4092872652 is a wasteful number, since it uses less digits than its factorization.

4092872652 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5313 (or 5302 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 4092872652 is about 63975.5629283557. The cubic root of 4092872652 is about 1599.5926895493.

The spelling of 4092872652 in words is "four billion, ninety-two million, eight hundred seventy-two thousand, six hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 81 99 108 132 162 198 227 297 324 396 454 594 681 891 908 1188 1362 1782 2043 2497 2724 3564 4086 4994 5059 6129 7491 8172 9988 10118 12258 14982 15177 18387 20236 22473 24516 29964 30354 36774 44946 45531 55649 60708 67419 73548 89892 91062 111298 134838 136593 166947 182124 202257 222596 269676 273186 333894 404514 409779 500841 546372 667788 809028 819558 1001682 1148393 1502523 1639116 2003364 2296786 3005046 3445179 4507569 4593572 6010092 6890358 9015138 10335537 12632323 13780716 18030276 20671074 25264646 31006611 37896969 41342148 50529292 62013222 75793938 93019833 113690907 124026444 151587876 186039666 227381814 341072721 372079332 454763628 682145442 1023218163 1364290884 2046436326 4092872652