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252707250 = 23534767107
BaseRepresentation
bin11110001000000…
…00000110110010
3122121111212011210
433010000012302
51004143113000
641024220550
76155655555
oct1704000662
9577455153
10252707250
1111a712774
127076a756
134047ca23
14257c269c
15172bb350
hexf1001b2

252707250 has 128 divisors (see below), whose sum is σ = 659902464. Its totient is φ = 64363200.

The previous prime is 252707249. The next prime is 252707251. The reversal of 252707250 is 52707252.

It is an interprime number because it is at equal distance from previous prime (252707249) and next prime (252707251).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an alternating number because its digits alternate between even and odd.

It is not an unprimeable number, because it can be changed into a prime (252707251) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2361697 + ... + 2361803.

It is an arithmetic number, because the mean of its divisors is an integer number (5155488).

Almost surely, 2252707250 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252707250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329951232).

252707250 is an abundant number, since it is smaller than the sum of its proper divisors (407195214).

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

252707250 is a wasteful number, since it uses less digits than its factorization.

252707250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 9800, while the sum is 30.

The square root of 252707250 is about 15896.7685395492. The cubic root of 252707250 is about 632.2263132908.

The spelling of 252707250 in words is "two hundred fifty-two million, seven hundred seven thousand, two hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 47 50 67 75 94 107 125 134 141 150 201 214 235 250 282 321 335 375 402 470 535 642 670 705 750 1005 1070 1175 1410 1605 1675 2010 2350 2675 3149 3210 3350 3525 5025 5029 5350 5875 6298 7050 7169 8025 8375 9447 10050 10058 11750 13375 14338 15087 15745 16050 16750 17625 18894 21507 25125 25145 26750 30174 31490 35250 35845 40125 43014 47235 50250 50290 71690 75435 78725 80250 94470 107535 125725 150870 157450 179225 215070 236175 251450 336943 358450 377175 393625 472350 537675 628625 673886 754350 787250 896125 1010829 1075350 1180875 1257250 1684715 1792250 1885875 2021658 2361750 2688375 3369430 3771750 5054145 5376750 8423575 10108290 16847150 25270725 42117875 50541450 84235750 126353625 252707250