Search a number
-
+
401562372 = 223177924917
BaseRepresentation
bin10111111011110…
…101101100000100
31000222121111000110
4113323311230010
51310244443442
6103502513020
712644136531
oct2773655404
91028544013
10401562372
11196742832
12b2595770
136526a793
143b48dd88
15253c169c
hex17ef5b04

401562372 has 48 divisors (see below), whose sum is σ = 1004693760. Its totient is φ = 124380672.

The previous prime is 401562361. The next prime is 401562373. The reversal of 401562372 is 273265104.

It is a super-2 number, since 2×4015623722 = 322504677212532768, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (401562373) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3658 + ... + 28574.

It is an arithmetic number, because the mean of its divisors is an integer number (20931120).

Almost surely, 2401562372 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 401562372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502346880).

401562372 is an abundant number, since it is smaller than the sum of its proper divisors (603131388).

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

401562372 is a wasteful number, since it uses less digits than its factorization.

401562372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25020 (or 25018 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 401562372 is about 20039.0212335832. The cubic root of 401562372 is about 737.7643580492.

The spelling of 401562372 in words is "four hundred one million, five hundred sixty-two thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 12 17 34 51 68 79 102 158 204 237 316 474 948 1343 2686 4029 5372 8058 16116 24917 49834 74751 99668 149502 299004 423589 847178 1270767 1694356 1968443 2541534 3936886 5083068 5905329 7873772 11810658 23621316 33463531 66927062 100390593 133854124 200781186 401562372