Search a number
-
+
401396256 = 25333831213
BaseRepresentation
bin10111111011001…
…101001000100000
31000222022001011000
4113323031020200
51310224140011
6103455152000
712642545322
oct2773151040
91028261130
10401396256
11196639a48
12b2515600
136520cca1
143b449612
152538c356
hex17ecd220

401396256 has 96 divisors (see below), whose sum is σ = 1174763520. Its totient is φ = 133339392.

The previous prime is 401396251. The next prime is 401396291. The reversal of 401396256 is 652693104.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×4013962562 = 322237908661635072, which contains 22 as substring.

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 401396256.

It is not an unprimeable number, because it can be changed into a prime (401396251) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330306 + ... + 331518.

It is an arithmetic number, because the mean of its divisors is an integer number (12237120).

Almost surely, 2401396256 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 401396256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (587381760).

401396256 is an abundant number, since it is smaller than the sum of its proper divisors (773367264).

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

401396256 is a wasteful number, since it uses less digits than its factorization.

401396256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1601 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 401396256 is about 20034.8759916302. The cubic root of 401396256 is about 737.6626126536.

The spelling of 401396256 in words is "four hundred one million, three hundred ninety-six thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 383 432 766 864 1149 1213 1532 2298 2426 3064 3447 3639 4596 4852 6128 6894 7278 9192 9704 10341 10917 12256 13788 14556 18384 19408 20682 21834 27576 29112 32751 36768 38816 41364 43668 55152 58224 65502 82728 87336 110304 116448 131004 165456 174672 262008 330912 349344 464579 524016 929158 1048032 1393737 1858316 2787474 3716632 4181211 5574948 7433264 8362422 11149896 12543633 14866528 16724844 22299792 25087266 33449688 44599584 50174532 66899376 100349064 133798752 200698128 401396256