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679742244 = 223237975261
BaseRepresentation
bin101000100001000…
…000101100100100
31202101001111001200
4220201000230210
52343003222434
6151241122500
722562466546
oct5041005444
91671044050
10679742244
11319773455
1216b789430
13aaa9885c
14663c3696
153ea20199
hex28840b24

679742244 has 72 divisors (see below), whose sum is σ = 1783207608. Its totient is φ = 218142720.

The previous prime is 679742243. The next prime is 679742249. The reversal of 679742244 is 442247976.

It can be written as a sum of positive squares in 4 ways, for example, as 297148644 + 382593600 = 17238^2 + 19560^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 679742244.

It is not an unprimeable number, because it can be changed into a prime (679742243) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126574 + ... + 131834.

Almost surely, 2679742244 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 679742244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (891603804).

679742244 is an abundant number, since it is smaller than the sum of its proper divisors (1103465364).

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

679742244 is a wasteful number, since it uses less digits than its factorization.

679742244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5405 (or 5400 counting only the distinct ones).

The product of its digits is 677376, while the sum is 45.

The square root of 679742244 is about 26071.8669066870. The cubic root of 679742244 is about 879.2548116420.

The spelling of 679742244 in words is "six hundred seventy-nine million, seven hundred forty-two thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 97 111 148 194 222 291 333 388 444 582 666 873 1164 1332 1746 3492 3589 5261 7178 10522 10767 14356 15783 21044 21534 31566 32301 43068 47349 63132 64602 94698 129204 189396 194657 389314 510317 583971 778628 1020634 1167942 1530951 1751913 2041268 2335884 3061902 3503826 4592853 6123804 7007652 9185706 18371412 18881729 37763458 56645187 75526916 113290374 169935561 226580748 339871122 679742244