Search a number
-
+
772949952 = 263616567
BaseRepresentation
bin101110000100100…
…100011111000000
31222212102221000000
4232010210133000
53040333344302
6204411000000
725103652255
oct5604443700
91885387000
10772949952
11367345815
12196a39000
13c41a1848
147492742c
1547cd231c
hex2e1247c0

772949952 has 98 divisors (see below), whose sum is σ = 2299820648. Its totient is φ = 257634432.

The previous prime is 772949951. The next prime is 772949953. The reversal of 772949952 is 259949277.

It is an interprime number because it is at equal distance from previous prime (772949951) and next prime (772949953).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (772949951) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 38373 + ... + 54939.

Almost surely, 2772949952 is an apocalyptic number.

772949952 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 772949952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149910324).

772949952 is an abundant number, since it is smaller than the sum of its proper divisors (1526870696).

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

772949952 is an equidigital number, since it uses as much as digits as its factorization.

772949952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16597 (or 16572 counting only the distinct ones).

The product of its digits is 2857680, while the sum is 54.

The square root of 772949952 is about 27801.9774836252. The cubic root of 772949952 is about 917.7346407184.

The spelling of 772949952 in words is "seven hundred seventy-two million, nine hundred forty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 729 864 972 1296 1458 1728 1944 2592 2916 3888 5184 5832 7776 11664 15552 16567 23328 33134 46656 49701 66268 99402 132536 149103 198804 265072 298206 397608 447309 530144 596412 795216 894618 1060288 1192824 1341927 1590432 1789236 2385648 2683854 3180864 3578472 4025781 4771296 5367708 7156944 8051562 9542592 10735416 12077343 14313888 16103124 21470832 24154686 28627776 32206248 42941664 48309372 64412496 85883328 96618744 128824992 193237488 257649984 386474976 772949952