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252038070 = 232541167409
BaseRepresentation
bin11110000010111…
…00101110110110
3122120020212020100
433001130232312
51004010204240
641002014530
76150200604
oct1701345666
9576225210
10252038070
1111a2a5a29
12704a7446
13402a726b
142568a874
15171d7e30
hexf05cbb6

252038070 has 96 divisors (see below), whose sum is σ = 676952640. Its totient is φ = 65018880.

The previous prime is 252038063. The next prime is 252038081. The reversal of 252038070 is 70830252.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 616026 + ... + 616434.

It is an arithmetic number, because the mean of its divisors is an integer number (7051590).

Almost surely, 2252038070 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252038070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338476320).

252038070 is an abundant number, since it is smaller than the sum of its proper divisors (424914570).

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

252038070 is a wasteful number, since it uses less digits than its factorization.

252038070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 630 (or 627 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 252038070 is about 15875.7069133944. The cubic root of 252038070 is about 631.6677655463.

The spelling of 252038070 in words is "two hundred fifty-two million, thirty-eight thousand, seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 41 45 82 90 123 167 205 246 334 369 409 410 501 615 738 818 835 1002 1227 1230 1503 1670 1845 2045 2454 2505 3006 3681 3690 4090 5010 6135 6847 7362 7515 12270 13694 15030 16769 18405 20541 33538 34235 36810 41082 50307 61623 68303 68470 83845 100614 102705 123246 136606 150921 167690 204909 205410 251535 301842 308115 341515 409818 503070 614727 616230 683030 754605 1024545 1229454 1509210 2049090 2800423 3073635 5600846 6147270 8401269 14002115 16802538 25203807 28004230 42006345 50407614 84012690 126019035 252038070