Search a number
-
+
674772252 = 2237112331751
BaseRepresentation
bin101000001110000…
…011010100011100
31202000200222111220
4220032003110130
52340220203002
6150542413340
722502320020
oct5016032434
91660628456
10674772252
11316989420
12169b91250
13a9a4862b
146588c380
153e38c7bc
hex2838351c

674772252 has 96 divisors (see below), whose sum is σ = 2048385024. Its totient is φ = 167640000.

The previous prime is 674772247. The next prime is 674772253. The reversal of 674772252 is 252277476.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (674772253) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5377 + ... + 37127.

It is an arithmetic number, because the mean of its divisors is an integer number (21337344).

Almost surely, 2674772252 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 674772252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024192512).

674772252 is an abundant number, since it is smaller than the sum of its proper divisors (1373612772).

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

674772252 is a wasteful number, since it uses less digits than its factorization.

674772252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31799 (or 31797 counting only the distinct ones).

The product of its digits is 329280, while the sum is 42.

The square root of 674772252 is about 25976.3787314552. The cubic root of 674772252 is about 877.1066527079.

The spelling of 674772252 in words is "six hundred seventy-four million, seven hundred seventy-two thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 23 28 33 42 44 46 66 69 77 84 92 132 138 154 161 231 253 276 308 322 462 483 506 644 759 924 966 1012 1518 1771 1932 3036 3542 5313 7084 10626 21252 31751 63502 95253 127004 190506 222257 349261 381012 444514 666771 698522 730273 889028 1047783 1333542 1397044 1460546 2095566 2190819 2444827 2667084 2921092 4191132 4381638 4889654 5111911 7334481 8033003 8763276 9779308 10223822 14668962 15335733 16066006 20447644 24099009 29337924 30671466 32132012 48198018 56231021 61342932 96396036 112462042 168693063 224924084 337386126 674772252