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201542256 = 243637467
BaseRepresentation
bin11000000001101…
…00101001110000
3112001020102000000
430000310221300
5403043323011
631555430000
74665036516
oct1400645160
9461212000
10201542256
11a3846753
12575b5300
13329a7296
141caa44b6
1512a61356
hexc034a70

201542256 has 140 divisors (see below), whose sum is σ = 602575272. Its totient is φ = 65225088.

The previous prime is 201542239. The next prime is 201542273. The reversal of 201542256 is 652245102.

It is an interprime number because it is at equal distance from previous prime (201542239) and next prime (201542273).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 431335 + ... + 431801.

Almost surely, 2201542256 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 201542256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301287636).

201542256 is an abundant number, since it is smaller than the sum of its proper divisors (401033016).

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

201542256 is an equidigital number, since it uses as much as digits as its factorization.

201542256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 201542256 is about 14196.5578926724. The cubic root of 201542256 is about 586.3028948929.

Adding to 201542256 its reverse (652245102), we get a palindrome (853787358).

The spelling of 201542256 in words is "two hundred one million, five hundred forty-two thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 37 48 54 72 74 81 108 111 144 148 162 216 222 243 296 324 333 432 444 467 486 592 648 666 729 888 934 972 999 1296 1332 1401 1458 1776 1868 1944 1998 2664 2802 2916 2997 3736 3888 3996 4203 5328 5604 5832 5994 7472 7992 8406 8991 11208 11664 11988 12609 15984 16812 17279 17982 22416 23976 25218 26973 33624 34558 35964 37827 47952 50436 51837 53946 67248 69116 71928 75654 100872 103674 107892 113481 138232 143856 151308 155511 201744 207348 215784 226962 276464 302616 311022 340443 414696 431568 453924 466533 605232 622044 680886 829392 907848 933066 1244088 1361772 1399599 1815696 1866132 2488176 2723544 2799198 3732264 4198797 5447088 5598396 7464528 8397594 11196792 12596391 16795188 22393584 25192782 33590376 50385564 67180752 100771128 201542256