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532238256 = 243311313613
BaseRepresentation
bin11111101110010…
…100111110110000
31101002111111122000
4133232110332300
52042223111011
6124451414000
716121644014
oct3756247660
91332444560
10532238256
11253486530
1212a2b4300
1386361aa4
1450988544
1531ad5356
hex1fb94fb0

532238256 has 160 divisors (see below), whose sum is σ = 1720842240. Its totient is φ = 156038400.

The previous prime is 532238207. The next prime is 532238257. The reversal of 532238256 is 652832235.

It is a super-2 number, since 2×5322382562 = 566555122299843072, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 532238256.

It is not an unprimeable number, because it can be changed into a prime (532238257) 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, 145506 + ... + 149118.

It is an arithmetic number, because the mean of its divisors is an integer number (10755264).

Almost surely, 2532238256 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 532238256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (860421120).

532238256 is an abundant number, since it is smaller than the sum of its proper divisors (1188603984).

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

532238256 is a wasteful number, since it uses less digits than its factorization.

532238256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3672 (or 3660 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 532238256 is about 23070.2894650241. The cubic root of 532238256 is about 810.4048456316.

The spelling of 532238256 in words is "five hundred thirty-two million, two hundred thirty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 31 33 36 44 48 54 62 66 72 88 93 99 108 124 132 144 176 186 198 216 248 264 279 297 341 372 396 432 496 528 558 594 682 744 792 837 1023 1116 1188 1364 1488 1584 1674 2046 2232 2376 2728 3069 3348 3613 4092 4464 4752 5456 6138 6696 7226 8184 9207 10839 12276 13392 14452 16368 18414 21678 24552 28904 32517 36828 39743 43356 49104 57808 65034 73656 79486 86712 97551 112003 119229 130068 147312 158972 173424 195102 224006 238458 260136 317944 336009 357687 390204 448012 476916 520272 635888 672018 715374 780408 896024 953832 1008027 1073061 1232033 1344036 1430748 1560816 1792048 1907664 2016054 2146122 2464066 2688072 2861496 3024081 3696099 4032108 4292244 4928132 5376144 5722992 6048162 7392198 8064216 8584488 9856264 11088297 12096324 14784396 16128432 17168976 19712528 22176594 24192648 29568792 33264891 44353188 48385296 59137584 66529782 88706376 133059564 177412752 266119128 532238256