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3252427392 = 27359891613
BaseRepresentation
bin1100000111011100…
…0001101010000000
322101200000102121210
43001313001222000
523130110134032
61254422450120
7143412114414
oct30167015200
98350012553
103252427392
111419a01925
12769293940
133caa96a66
1422bd54d44
151408072cc
hexc1dc1a80

3252427392 has 128 divisors (see below), whose sum is σ = 8889912000. Its totient is φ = 1053138944.

The previous prime is 3252427349. The next prime is 3252427433. The reversal of 3252427392 is 2937242523.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 3252427392.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2015578 + ... + 2017190.

Almost surely, 23252427392 is an apocalyptic number.

3252427392 is a gapful number since it is divisible by the number (32) 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 3252427392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4444956000).

3252427392 is an abundant number, since it is smaller than the sum of its proper divisors (5637484608).

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

3252427392 is a wasteful number, since it uses less digits than its factorization.

3252427392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1766 counting only the distinct ones).

The product of its digits is 181440, while the sum is 39.

The square root of 3252427392 is about 57030.0569173835. The cubic root of 3252427392 is about 1481.6167188021.

The spelling of 3252427392 in words is "three billion, two hundred fifty-two million, four hundred twenty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 89 96 118 128 177 178 192 236 267 354 356 384 472 534 708 712 944 1068 1416 1424 1613 1888 2136 2832 2848 3226 3776 4272 4839 5251 5664 5696 6452 7552 8544 9678 10502 11328 11392 12904 15753 17088 19356 21004 22656 25808 31506 34176 38712 42008 51616 63012 77424 84016 95167 103232 126024 143557 154848 168032 190334 206464 252048 285501 287114 309696 336064 380668 430671 504096 571002 574228 619392 672128 761336 861342 1008192 1142004 1148456 1522672 1722684 2016384 2284008 2296912 3045344 3445368 4568016 4593824 6090688 6890736 8469863 9136032 9187648 12181376 13781472 16939726 18272064 18375296 25409589 27562944 33879452 36544128 50819178 55125888 67758904 101638356 135517808 203276712 271035616 406553424 542071232 813106848 1084142464 1626213696 3252427392