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2152906392 = 2337134124043
BaseRepresentation
bin1000000001010010…
…1011111010011000
312120001001222100210
42000110223322120
513402121001032
6553344131120
7104231255010
oct20024537230
95501058323
102152906392
11a0529448a
12501006aa0
13284053110
14165cdcc40
15c90182cc
hex8052be98

2152906392 has 128 divisors (see below), whose sum is σ = 6786178560. Its totient is φ = 553927680.

The previous prime is 2152906339. The next prime is 2152906403. The reversal of 2152906392 is 2936092512.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2152906392.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77523 + ... + 101565.

It is an arithmetic number, because the mean of its divisors is an integer number (53017020).

Almost surely, 22152906392 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 2152906392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3393089280).

2152906392 is an abundant number, since it is smaller than the sum of its proper divisors (4633272168).

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

2152906392 is a wasteful number, since it uses less digits than its factorization.

2152906392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24113 (or 24109 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 2152906392 is about 46399.4223239902. The cubic root of 2152906392 is about 1291.2441959063.

The spelling of 2152906392 in words is "two billion, one hundred fifty-two million, nine hundred six thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 41 42 52 56 78 82 84 91 104 123 156 164 168 182 246 273 287 312 328 364 492 533 546 574 728 861 984 1066 1092 1148 1599 1722 2132 2184 2296 3198 3444 3731 4264 6396 6888 7462 11193 12792 14924 22386 24043 29848 44772 48086 72129 89544 96172 144258 168301 192344 288516 312559 336602 504903 577032 625118 673204 937677 985763 1009806 1250236 1346408 1875354 1971526 2019612 2187913 2500472 2957289 3750708 3943052 4039224 4375826 5914578 6563739 6900341 7501416 7886104 8751652 11829156 12814919 13127478 13800682 17503304 20701023 23658312 25629838 26254956 27601364 38444757 41402046 51259676 52509912 55202728 76889514 82804092 89704433 102519352 153779028 165608184 179408866 269113299 307558056 358817732 538226598 717635464 1076453196 2152906392