Search a number
-
+
2089937376 = 25341942437
BaseRepresentation
bin111110010010001…
…1110100111100000
312101122120211010000
41330210132213200
513240010444001
6543214340000
7102535113612
oct17444364740
95348524100
102089937376
1198279597a
124a3aba600
13273ca6947
1415b7cadb2
15c372aa86
hex7c91e9e0

2089937376 has 120 divisors (see below), whose sum is σ = 6470097480. Its totient is φ = 659964672.

The previous prime is 2089937359. The next prime is 2089937387. The reversal of 2089937376 is 6737399802.

2089937376 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28030 + ... + 70466.

It is an arithmetic number, because the mean of its divisors is an integer number (53917479).

Almost surely, 22089937376 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 2089937376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3235048740).

2089937376 is an abundant number, since it is smaller than the sum of its proper divisors (4380160104).

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

2089937376 is a wasteful number, since it uses less digits than its factorization.

2089937376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42478 (or 42461 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 54.

The square root of 2089937376 is about 45715.8328809615. The cubic root of 2089937376 is about 1278.5304945678.

The spelling of 2089937376 in words is "two billion, eighty-nine million, nine hundred thirty-seven thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 81 96 108 114 144 152 162 171 216 228 288 304 324 342 432 456 513 608 648 684 864 912 1026 1296 1368 1539 1824 2052 2592 2736 3078 4104 5472 6156 8208 12312 16416 24624 42437 49248 84874 127311 169748 254622 339496 381933 509244 678992 763866 806303 1018488 1145799 1357984 1527732 1612606 2036976 2291598 2418909 3055464 3225212 3437397 4073952 4583196 4837818 6110928 6450424 6874794 7256727 9166392 9675636 12221856 12900848 13749588 14513454 18332784 19351272 21770181 25801696 27499176 29026908 36665568 38702544 43540362 54998352 58053816 65310543 77405088 87080724 109996704 116107632 130621086 174161448 232215264 261242172 348322896 522484344 696645792 1044968688 2089937376