Search a number
-
+
5730362456 = 2371319414283
BaseRepresentation
bin1010101011000111…
…00110010001011000
3112210100200120111112
411111203212101120
543213433044311
62344341315452
7262001164040
oct52543462130
915710616445
105730362456
112480705145
12113b105b88
1370426bc20
143c50a0720
1523812528b
hex1558e6458

5730362456 has 64 divisors (see below), whose sum is σ = 13919942400. Its totient is φ = 2147637888.

The previous prime is 5730362453. The next prime is 5730362459. The reversal of 5730362456 is 6542630375.

It is an interprime number because it is at equal distance from previous prime (5730362453) and next prime (5730362459).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5730362453) 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, 193310 + ... + 220973.

It is an arithmetic number, because the mean of its divisors is an integer number (217499100).

Almost surely, 25730362456 is an apocalyptic number.

5730362456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

5730362456 is an abundant number, since it is smaller than the sum of its proper divisors (8189579944).

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

5730362456 is a wasteful number, since it uses less digits than its factorization.

5730362456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 414328 (or 414324 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 41.

The square root of 5730362456 is about 75699.1575646651. The cubic root of 5730362456 is about 1789.4821235215.

The spelling of 5730362456 in words is "five billion, seven hundred thirty million, three hundred sixty-two thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 52 56 76 91 104 133 152 182 247 266 364 494 532 728 988 1064 1729 1976 3458 6916 13832 414283 828566 1657132 2899981 3314264 5385679 5799962 7871377 10771358 11599924 15742754 21542716 23199848 31485508 37699753 43085432 55099639 62971016 75399506 102327901 110199278 150799012 204655802 220398556 301598024 409311604 440797112 716295307 818623208 1432590614 2865181228 5730362456