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252950280 = 233511712699
BaseRepresentation
bin11110001001110…
…11011100001000
3122121222012112220
433010323130020
51004223402110
641033334040
76161020242
oct1704733410
9577865486
10252950280
1111a869320
1270867320
134053652b
1425847092
1517318370
hexf13b708

252950280 has 128 divisors (see below), whose sum is σ = 839808000. Its totient is φ = 60435200.

The previous prime is 252950273. The next prime is 252950281. The reversal of 252950280 is 82059252.

252950280 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (252950281) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 92371 + ... + 95069.

It is an arithmetic number, because the mean of its divisors is an integer number (6561000).

Almost surely, 2252950280 is an apocalyptic number.

252950280 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 252950280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419904000).

252950280 is an abundant number, since it is smaller than the sum of its proper divisors (586857720).

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

252950280 is a wasteful number, since it uses less digits than its factorization.

252950280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795 (or 2791 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The square root of 252950280 is about 15904.4107089826. The cubic root of 252950280 is about 632.4289202361.

The spelling of 252950280 in words is "two hundred fifty-two million, nine hundred fifty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 71 88 110 120 132 142 165 213 220 264 284 330 355 426 440 568 660 710 781 852 1065 1320 1420 1562 1704 2130 2343 2699 2840 3124 3905 4260 4686 5398 6248 7810 8097 8520 9372 10796 11715 13495 15620 16194 18744 21592 23430 26990 29689 31240 32388 40485 46860 53980 59378 64776 80970 89067 93720 107960 118756 148445 161940 178134 191629 237512 296890 323880 356268 383258 445335 574887 593780 712536 766516 890670 958145 1149774 1187560 1533032 1781340 1916290 2107919 2299548 2874435 3562680 3832580 4215838 4599096 5748870 6323757 7665160 8431676 10539595 11497740 12647514 16863352 21079190 22995480 25295028 31618785 42158380 50590056 63237570 84316760 126475140 252950280