Search a number
-
+
8053383416 = 2313594093209
BaseRepresentation
bin1111000000000010…
…01110000011111000
3202210020212021011212
413200001032003320
5112443131232131
63411043542252
7403366425641
oct74001160370
922706767155
108053383416
113462a1a181
12168908a988
139b4614540
145658026c8
15322042a2b
hex1e004e0f8

8053383416 has 64 divisors (see below), whose sum is σ = 16582860000. Its totient is φ = 3643877376.

The previous prime is 8053383413. The next prime is 8053383431. The reversal of 8053383416 is 6143833508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8053383413) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2508020 + ... + 2511228.

Almost surely, 28053383416 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 8053383416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8291430000).

8053383416 is an abundant number, since it is smaller than the sum of its proper divisors (8529476584).

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

8053383416 is a wasteful number, since it uses less digits than its factorization.

8053383416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3696 (or 3692 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 41.

The square root of 8053383416 is about 89740.6452840629. The cubic root of 8053383416 is about 2004.4387594195.

The spelling of 8053383416 in words is "eight billion, fifty-three million, three hundred eighty-three thousand, four hundred sixteen".

Divisors: 1 2 4 8 13 26 52 59 104 118 236 409 472 767 818 1534 1636 3068 3209 3272 5317 6136 6418 10634 12836 21268 24131 25672 41717 42536 48262 83434 96524 166868 189331 193048 313703 333736 378662 627406 757324 1254812 1312481 1514648 2461303 2509624 2624962 4922606 5249924 9845212 10499848 17062253 19690424 34124506 68249012 77436379 136498024 154872758 309745516 619491032 1006672927 2013345854 4026691708 8053383416