Search a number
-
+
2375670864 = 243731613739
BaseRepresentation
bin1000110110011001…
…1101110001010000
320010120020120202210
42031212131301100
514331132431424
61031422512120
7112604604060
oct21546356120
96116216683
102375670864
11100a005756
12563735640
132bb24ac08
141877293a0
15dd86c729
hex8d99dc50

2375670864 has 160 divisors (see below), whose sum is σ = 7360798720. Its totient is φ = 645926400.

The previous prime is 2375670853. The next prime is 2375670893. The reversal of 2375670864 is 4680765732.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 633507 + ... + 637245.

It is an arithmetic number, because the mean of its divisors is an integer number (46004992).

Almost surely, 22375670864 is an apocalyptic number.

2375670864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2375670864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3680399360).

2375670864 is an abundant number, since it is smaller than the sum of its proper divisors (4985127856).

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

2375670864 is a wasteful number, since it uses less digits than its factorization.

2375670864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3849 (or 3843 counting only the distinct ones).

The product of its (nonzero) digits is 1693440, while the sum is 48.

The square root of 2375670864 is about 48740.8541574725. The cubic root of 2375670864 is about 1334.3264360155.

The spelling of 2375670864 in words is "two billion, three hundred seventy-five million, six hundred seventy thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 61 62 84 93 112 122 124 168 183 186 217 244 248 336 366 372 427 434 488 496 651 732 744 854 868 976 1281 1302 1464 1488 1708 1736 1891 2562 2604 2928 3416 3472 3739 3782 5124 5208 5673 6832 7478 7564 10248 10416 11217 11346 13237 14956 15128 20496 22434 22692 26173 26474 29912 30256 39711 44868 45384 52346 52948 59824 78519 79422 89736 90768 104692 105896 115909 157038 158844 179472 209384 211792 228079 231818 314076 317688 347727 418768 456158 463636 628152 635376 684237 695454 811363 912316 927272 1256304 1368474 1390908 1596553 1622726 1824632 1854544 2434089 2736948 2781816 3193106 3245452 3649264 4789659 4868178 5473896 5563632 6386212 6490904 7070449 9579318 9736356 10947792 12772424 12981808 14140898 19158636 19472712 21211347 25544848 28281796 38317272 38945424 42422694 49493143 56563592 76634544 84845388 98986286 113127184 148479429 169690776 197972572 296958858 339381552 395945144 593917716 791890288 1187835432 2375670864