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252537580 = 225374753137
BaseRepresentation
bin11110000110101…
…10101011101100
3122121012020102201
433003112223230
51004122200310
641020431244
76154351111
oct1703265354
9577166381
10252537580
1111a607249
12706a8524
1340420729
142577a908
1517285e3a
hexf0d6aec

252537580 has 96 divisors (see below), whose sum is σ = 570882816. Its totient is φ = 93689856.

The previous prime is 252537577. The next prime is 252537611. The reversal of 252537580 is 85735252.

It is a Harshad number since it is a multiple of its sum of digits (37).

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, 1843272 + ... + 1843408.

It is an arithmetic number, because the mean of its divisors is an integer number (5946696).

Almost surely, 2252537580 is an apocalyptic number.

252537580 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 252537580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285441408).

252537580 is an abundant number, since it is smaller than the sum of its proper divisors (318345236).

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

252537580 is a wasteful number, since it uses less digits than its factorization.

252537580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283 (or 281 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 37.

The square root of 252537580 is about 15891.4310242973. The cubic root of 252537580 is about 632.0847874015.

The spelling of 252537580 in words is "two hundred fifty-two million, five hundred thirty-seven thousand, five hundred eighty".

Divisors: 1 2 4 5 10 20 37 47 53 74 94 106 137 148 185 188 212 235 265 274 370 470 530 548 685 740 940 1060 1370 1739 1961 2491 2740 3478 3922 4982 5069 6439 6956 7261 7844 8695 9805 9964 10138 12455 12878 14522 17390 19610 20276 24910 25345 25756 29044 32195 34780 36305 39220 49820 50690 64390 72610 92167 101380 128780 145220 184334 238243 268657 341267 368668 460835 476486 537314 682534 921670 952972 1074628 1191215 1343285 1365068 1706335 1843340 2382430 2686570 3412670 4764860 5373140 6825340 12626879 25253758 50507516 63134395 126268790 252537580