Search a number
-
+
402424144 = 24315031613
BaseRepresentation
bin10111111111001…
…000000101010000
31001001020021010221
4113333020011100
51311010033034
6103533202424
712654356143
oct2777100520
91031207127
10402424144
11197181241
12b2930414
13654acac5
143b63605a
15254e1bb4
hex17fc8150

402424144 has 40 divisors (see below), whose sum is σ = 806948352. Its totient is φ = 194213760.

The previous prime is 402424133. The next prime is 402424151. The reversal of 402424144 is 441424204.

It is a hoax number, since the sum of its digits (25) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248682 + ... + 250294.

Almost surely, 2402424144 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 402424144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403474176).

402424144 is an abundant number, since it is smaller than the sum of its proper divisors (404524208).

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

402424144 is a wasteful number, since it uses less digits than its factorization.

402424144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2155 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

The square root of 402424144 is about 20060.5120572731. The cubic root of 402424144 is about 738.2917401315.

Adding to 402424144 its reverse (441424204), we get a palindrome (843848348).

The spelling of 402424144 in words is "four hundred two million, four hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 31 62 124 248 496 503 1006 1613 2012 3226 4024 6452 8048 12904 15593 25808 31186 50003 62372 100006 124744 200012 249488 400024 800048 811339 1622678 3245356 6490712 12981424 25151509 50303018 100606036 201212072 402424144