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682950144 = 2933761197
BaseRepresentation
bin101000101101001…
…111111000000000
31202121002110110210
4220231033320000
52344313401034
6151433554120
722631660202
oct5055177000
91677073423
10682950144
11320564608
12170875940
13ab64ca16
14669ba772
153ee558e9
hex28b4fe00

682950144 has 160 divisors (see below), whose sum is σ = 1908868896. Its totient is φ = 216760320.

The previous prime is 682950137. The next prime is 682950227. The reversal of 682950144 is 441059286.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3466654 + ... + 3466850.

Almost surely, 2682950144 is an apocalyptic number.

682950144 is a gapful number since it is divisible by the number (64) 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 682950144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (954434448).

682950144 is an abundant number, since it is smaller than the sum of its proper divisors (1225918752).

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

682950144 is a wasteful number, since it uses less digits than its factorization.

682950144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 300 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The square root of 682950144 is about 26133.3148299254. The cubic root of 682950144 is about 880.6357939761.

The spelling of 682950144 in words is "six hundred eighty-two million, nine hundred fifty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 61 64 74 96 111 122 128 148 183 192 197 222 244 256 296 366 384 394 444 488 512 591 592 732 768 788 888 976 1182 1184 1464 1536 1576 1776 1952 2257 2364 2368 2928 3152 3552 3904 4514 4728 4736 5856 6304 6771 7104 7289 7808 9028 9456 9472 11712 12017 12608 13542 14208 14578 15616 18056 18912 18944 21867 23424 24034 25216 27084 28416 29156 31232 36051 36112 37824 43734 46848 48068 50432 54168 56832 58312 72102 72224 75648 87468 93696 96136 100864 108336 116624 144204 144448 151296 174936 192272 216672 233248 288408 288896 302592 349872 384544 433344 444629 466496 576816 577792 699744 769088 866688 889258 932992 1153632 1155584 1333887 1399488 1538176 1733376 1778516 1865984 2307264 2667774 2798976 3076352 3466752 3557032 3731968 4614528 5335548 5597952 6152704 7114064 9229056 10671096 11195904 14228128 18458112 21342192 28456256 42684384 56912512 85368768 113825024 170737536 227650048 341475072 682950144