Search a number
-
+
691364772 = 2232717712273
BaseRepresentation
bin101001001101010…
…110001110100100
31210011220222011200
4221031112032210
52403442133042
6152334202500
723063334510
oct5115261644
91704828150
10691364772
1132529164a
12173653430
13b0307aa7
1467b6b140
1540a68c4c
hex293563a4

691364772 has 144 divisors (see below), whose sum is σ = 2145491712. Its totient is φ = 183214080.

The previous prime is 691364749. The next prime is 691364777. The reversal of 691364772 is 277463196.

It is a super-2 number, since 2×6913647722 = 955970495925223968, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (691364777) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 303028 + ... + 305300.

It is an arithmetic number, because the mean of its divisors is an integer number (14899248).

Almost surely, 2691364772 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 691364772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1072745856).

691364772 is an abundant number, since it is smaller than the sum of its proper divisors (1454126940).

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

691364772 is a wasteful number, since it uses less digits than its factorization.

691364772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2378 (or 2373 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 691364772 is about 26293.8162311978. The cubic root of 691364772 is about 884.2378116423.

The spelling of 691364772 in words is "six hundred ninety-one million, three hundred sixty-four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 71 84 102 119 126 142 153 204 213 238 252 284 306 357 426 476 497 612 639 714 852 994 1071 1207 1278 1428 1491 1988 2142 2273 2414 2556 2982 3621 4284 4473 4546 4828 5964 6819 7242 8449 8946 9092 10863 13638 14484 15911 16898 17892 20457 21726 25347 27276 31822 33796 38641 40914 43452 47733 50694 63644 76041 77282 81828 95466 101388 115923 143199 152082 154564 161383 190932 231846 270487 286398 304164 322766 347769 463692 484149 540974 572796 645532 695538 811461 968298 1081948 1129681 1391076 1452447 1622922 1936596 2259362 2434383 2743511 2904894 3245844 3389043 4518724 4868766 5487022 5809788 6778086 8230533 9737532 10167129 10974044 13556172 16461066 19204577 20334258 24691599 32922132 38409154 40668516 49383198 57613731 76818308 98766396 115227462 172841193 230454924 345682386 691364772