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682172928 = 29355483
BaseRepresentation
bin101000101010010…
…010001000000000
31202112121222100000
4220222102020000
52344114013203
6151405200000
722622242233
oct5052221000
91675558300
10682172928
11320083688
12170560000
13ab43a028
146685741a
153ed504a3
hex28a92200

682172928 has 120 divisors (see below), whose sum is σ = 2042088048. Its totient is φ = 227349504.

The previous prime is 682172867. The next prime is 682172929. The reversal of 682172928 is 829271286.

It is not an unprimeable number, because it can be changed into a prime (682172929) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121675 + ... + 127157.

Almost surely, 2682172928 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 682172928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1021044024).

682172928 is an abundant number, since it is smaller than the sum of its proper divisors (1359915120).

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

682172928 is an frugal number, since it uses more digits than its factorization.

682172928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5516 (or 5488 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 682172928 is about 26118.4403822280. The cubic root of 682172928 is about 880.3016046075.

The spelling of 682172928 in words is "six hundred eighty-two million, one hundred seventy-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1152 1296 1536 1728 1944 2304 2592 3456 3888 4608 5184 5483 6912 7776 10368 10966 13824 15552 16449 20736 21932 31104 32898 41472 43864 49347 62208 65796 87728 98694 124416 131592 148041 175456 197388 263184 296082 350912 394776 444123 526368 592164 701824 789552 888246 1052736 1184328 1332369 1403648 1579104 1776492 2105472 2368656 2664738 2807296 3158208 3552984 4210944 4737312 5329476 6316416 7105968 8421888 9474624 10658952 12632832 14211936 18949248 21317904 25265664 28423872 37898496 42635808 56847744 75796992 85271616 113695488 170543232 227390976 341086464 682172928