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2048086456 = 23131937109257
BaseRepresentation
bin111101000010011…
…0101000110111000
312021201211120102221
41322010311012320
513143302231311
6535121333424
7101516306353
oct17204650670
95251746387
102048086456
11961100739
12491a97274
132684127a0
1415601529a
15bec10671
hex7a1351b8

2048086456 has 128 divisors (see below), whose sum is σ = 4529448000. Its totient is φ = 859963392.

The previous prime is 2048086427. The next prime is 2048086477. The reversal of 2048086456 is 6546808402.

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, 7969080 + ... + 7969336.

Almost surely, 22048086456 is an apocalyptic number.

2048086456 is a gapful number since it is divisible by the number (26) 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 2048086456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2264724000).

2048086456 is an abundant number, since it is smaller than the sum of its proper divisors (2481361544).

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

2048086456 is a wasteful number, since it uses less digits than its factorization.

2048086456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The square root of 2048086456 is about 45255.7891987312. The cubic root of 2048086456 is about 1269.9387111597.

The spelling of 2048086456 in words is "two billion, forty-eight million, eighty-six thousand, four hundred fifty-six".

Divisors: 1 2 4 8 13 19 26 37 38 52 74 76 104 109 148 152 218 247 257 296 436 481 494 514 703 872 962 988 1028 1406 1417 1924 1976 2056 2071 2812 2834 3341 3848 4033 4142 4883 5624 5668 6682 8066 8284 9139 9509 9766 11336 13364 16132 16568 18278 19018 19532 26728 26923 28013 32264 36556 38036 39064 52429 53846 56026 63479 73112 76072 76627 104858 107692 112052 123617 126958 153254 180671 209716 215384 224104 247234 253916 306508 361342 364169 419432 494468 507832 532247 613016 722684 728338 988936 996151 1036481 1064494 1445368 1456676 1992302 2072962 2128988 2348723 2913352 3984604 4145924 4257976 4697446 6919211 7969208 8291848 9394892 13474253 13838422 18789784 19693139 26948506 27676844 39386278 53897012 55353688 78772556 107794024 157545112 256010807 512021614 1024043228 2048086456