Search a number
-
+
5702315328 = 26336749253
BaseRepresentation
bin1010100111110001…
…00110110101000000
3112201101220122002000
411103320212311000
543134243042303
62341500224000
7261210611013
oct52370466500
915641818060
105702315328
1124668989a6
12113183b000
136cb4cbaa8
143c147d37a
15235934da3
hex153e26d40

5702315328 has 112 divisors (see below), whose sum is σ = 17014301760. Its totient is φ = 1872364032.

The previous prime is 5702315323. The next prime is 5702315363. The reversal of 5702315328 is 8235132075.

It is a happy number.

5702315328 is a `hidden beast` number, since 570 + 2 + 31 + 53 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5702315292 and 5702315301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5702315323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91150 + ... + 140402.

Almost surely, 25702315328 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 5702315328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8507150880).

5702315328 is an abundant number, since it is smaller than the sum of its proper divisors (11311986432).

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

5702315328 is a wasteful number, since it uses less digits than its factorization.

5702315328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49341 (or 49325 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5702315328 is about 75513.6764301673. The cubic root of 5702315328 is about 1786.5578208981.

The spelling of 5702315328 in words is "five billion, seven hundred two million, three hundred fifteen thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 67 72 96 108 134 144 192 201 216 268 288 402 432 536 576 603 804 864 1072 1206 1608 1728 1809 2144 2412 3216 3618 4288 4824 6432 7236 9648 12864 14472 19296 28944 38592 49253 57888 98506 115776 147759 197012 295518 394024 443277 591036 788048 886554 1182072 1329831 1576096 1773108 2364144 2659662 3152192 3299951 3546216 4728288 5319324 6599902 7092432 9456576 9899853 10638648 13199804 14184864 19799706 21277296 26399608 28369728 29699559 39599412 42554592 52799216 59399118 79198824 85109184 89098677 105598432 118798236 158397648 178197354 211196864 237596472 316795296 356394708 475192944 633590592 712789416 950385888 1425578832 1900771776 2851157664 5702315328