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252896280 = 233571323159
BaseRepresentation
bin11110001001011…
…10010000011000
3122121212110110220
433010232100120
51004220140110
641032240040
76160403640
oct1704562030
9577773426
10252896280
1111a83179a
1270840020
1340517a90
1425831520
1517307370
hexf12e418

252896280 has 128 divisors (see below), whose sum is σ = 933811200. Its totient is φ = 53356032.

The previous prime is 252896261. The next prime is 252896297. The reversal of 252896280 is 82698252.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 660 + ... + 22499.

It is an arithmetic number, because the mean of its divisors is an integer number (7295400).

Almost surely, 2252896280 is an apocalyptic number.

252896280 is a gapful number since it is divisible by the number (20) 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 252896280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466905600).

252896280 is an abundant number, since it is smaller than the sum of its proper divisors (680914920).

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

252896280 is a wasteful number, since it uses less digits than its factorization.

252896280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23193 (or 23189 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The square root of 252896280 is about 15902.7129760931. The cubic root of 252896280 is about 632.3839132460.

The spelling of 252896280 in words is "two hundred fifty-two million, eight hundred ninety-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 23159 46318 69477 92636 115795 138954 162113 185272 231590 277908 301067 324226 347385 463180 486339 555816 602134 648452 694770 810565 903201 926360 972678 1204268 1296904 1389540 1505335 1621130 1806402 1945356 2107469 2408536 2431695 2779080 3010670 3242260 3612804 3890712 4214938 4516005 4863390 6021340 6322407 6484520 7225608 8429876 9032010 9726780 10537345 12042680 12644814 16859752 18064020 19453560 21074690 25289628 31612035 36128040 42149380 50579256 63224070 84298760 126448140 252896280