Search a number
-
+
764308480 = 21051311483
BaseRepresentation
bin101101100011100…
…110110000000000
31222021011220010111
4231203212300000
53031130332410
6203501441104
724640341415
oct5543466000
91867156114
10764308480
11362483301
12193b70194
13c2467450
147371810c
1547176b8a
hex2d8e6c00

764308480 has 88 divisors (see below), whose sum is σ = 1974650832. Its totient is φ = 282181632.

The previous prime is 764308477. The next prime is 764308483. The reversal of 764308480 is 84803467.

It is an interprime number because it is at equal distance from previous prime (764308477) and next prime (764308483).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (764308483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60819 + ... + 72301.

It is an arithmetic number, because the mean of its divisors is an integer number (22439214).

Almost surely, 2764308480 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 764308480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (987325416).

764308480 is an abundant number, since it is smaller than the sum of its proper divisors (1210342352).

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

764308480 is a wasteful number, since it uses less digits than its factorization.

764308480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11521 (or 11503 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 40.

The square root of 764308480 is about 27646.1295663606. The cubic root of 764308480 is about 914.3017675753.

The spelling of 764308480 in words is "seven hundred sixty-four million, three hundred eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 128 130 160 208 256 260 320 416 512 520 640 832 1024 1040 1280 1664 2080 2560 3328 4160 5120 6656 8320 11483 13312 16640 22966 33280 45932 57415 66560 91864 114830 149279 183728 229660 298558 367456 459320 597116 734912 746395 918640 1194232 1469824 1492790 1837280 2388464 2939648 2985580 3674560 4776928 5879296 5971160 7349120 9553856 11758592 11942320 14698240 19107712 23884640 29396480 38215424 47769280 58792960 76430848 95538560 152861696 191077120 382154240 764308480