Search a number
-
+
772742480 = 24517568193
BaseRepresentation
bin101110000011110…
…001110101010000
31222212001101101212
4232003301311100
53040310224410
6204402315252
725102126346
oct5603616520
91885041355
10772742480
11367213954
12196958b28
13c412b293
14748b1996
1547c90b05
hex2e0f1d50

772742480 has 40 divisors (see below), whose sum is σ = 1902313512. Its totient is φ = 290914304.

The previous prime is 772742419. The next prime is 772742489. The reversal of 772742480 is 84247277.

It can be written as a sum of positive squares in 4 ways, for example, as 173080336 + 599662144 = 13156^2 + 24488^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772742489) 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, 282737 + ... + 285456.

Almost surely, 2772742480 is an apocalyptic number.

It is an amenable number.

772742480 is an abundant number, since it is smaller than the sum of its proper divisors (1129571032).

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

772742480 is a wasteful number, since it uses less digits than its factorization.

772742480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568223 (or 568217 counting only the distinct ones).

The product of its (nonzero) digits is 175616, while the sum is 41.

The square root of 772742480 is about 27798.2459878317. The cubic root of 772742480 is about 917.6525218700.

The spelling of 772742480 in words is "seven hundred seventy-two million, seven hundred forty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 568193 1136386 2272772 2840965 4545544 5681930 9091088 9659281 11363860 19318562 22727720 38637124 45455440 48296405 77274248 96592810 154548496 193185620 386371240 772742480