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401504232 = 233172107541
BaseRepresentation
bin10111111011100…
…111011111101000
31000222111112021010
4113323213133220
51310241113412
6103501343520
712643505163
oct2773473750
91028445233
10401504232
11196703088
12b2567ba0
136524a18c
143b476ada
15253ae33c
hex17ee77e8

401504232 has 96 divisors (see below), whose sum is σ = 1078233120. Its totient is φ = 124554240.

The previous prime is 401504231. The next prime is 401504291. The reversal of 401504232 is 232405104.

It is a super-2 number, since 2×4015042322 = 322411296627819648, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 401504199 and 401504208.

It is not an unprimeable number, because it can be changed into a prime (401504231) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 741882 + ... + 742422.

It is an arithmetic number, because the mean of its divisors is an integer number (11231595).

Almost surely, 2401504232 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 401504232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (539116560).

401504232 is an abundant number, since it is smaller than the sum of its proper divisors (676728888).

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

401504232 is a wasteful number, since it uses less digits than its factorization.

401504232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 691 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 401504232 is about 20037.5705114168. The cubic root of 401504232 is about 737.7287507205.

Adding to 401504232 its reverse (232405104), we get a palindrome (633909336).

The spelling of 401504232 in words is "four hundred one million, five hundred four thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 107 136 204 214 289 321 408 428 541 578 642 856 867 1082 1156 1284 1623 1734 1819 2164 2312 2568 3246 3468 3638 4328 5457 6492 6936 7276 9197 10914 12984 14552 18394 21828 27591 30923 36788 43656 55182 57887 61846 73576 92769 110364 115774 123692 156349 173661 185538 220728 231548 247384 312698 347322 371076 463096 469047 625396 694644 742152 938094 984079 1250792 1389288 1876188 1968158 2952237 3752376 3936316 5904474 7872632 11808948 16729343 23617896 33458686 50188029 66917372 100376058 133834744 200752116 401504232