Search a number
-
+
402474240 = 28325722331
BaseRepresentation
bin10111111111010…
…100010100000000
31001001022210212100
4113333110110000
51311013133430
6103534230400
712654655200
oct2777242400
91031283770
10402474240
11197205943
12b2955400
13654c984c
143b64a400
1525501960
hex17fd4500

402474240 has 648 divisors, whose sum is σ = 1744823808. Its totient is φ = 85155840.

The previous prime is 402474227. The next prime is 402474253. The reversal of 402474240 is 42474204.

It is an interprime number because it is at equal distance from previous prime (402474227) and next prime (402474253).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12983025 + ... + 12983055.

Almost surely, 2402474240 is an apocalyptic number.

402474240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 402474240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (872411904).

402474240 is an abundant number, since it is smaller than the sum of its proper divisors (1342349568).

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

402474240 is a wasteful number, since it uses less digits than its factorization.

402474240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 27.

The square root of 402474240 is about 20061.7606405819. The cubic root of 402474240 is about 738.3223744170.

The spelling of 402474240 in words is "four hundred two million, four hundred seventy-four thousand, two hundred forty".