Search a number
-
+
402031152 = 243227710079
BaseRepresentation
bin10111111101101…
…000001000110000
31001000111022001200
4113331220020300
51310404444102
6103520531200
712651131325
oct2775501060
91030438050
10402031152
11196a32a56
12b2780b00
13653a2c73
143b572b4c
152546551c
hex17f68230

402031152 has 60 divisors (see below), whose sum is σ = 1129302720. Its totient is φ = 133513344.

The previous prime is 402031151. The next prime is 402031153. The reversal of 402031152 is 251130204.

It is an interprime number because it is at equal distance from previous prime (402031151) and next prime (402031153).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (402031151) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34849 + ... + 44927.

It is an arithmetic number, because the mean of its divisors is an integer number (18821712).

Almost surely, 2402031152 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 402031152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (564651360).

402031152 is an abundant number, since it is smaller than the sum of its proper divisors (727271568).

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

402031152 is a wasteful number, since it uses less digits than its factorization.

402031152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10370 (or 10361 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 402031152 is about 20050.7145009847. The cubic root of 402031152 is about 738.0513327151.

Adding to 402031152 its reverse (251130204), we get a palindrome (653161356).

The spelling of 402031152 in words is "four hundred two million, thirty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 277 554 831 1108 1662 2216 2493 3324 4432 4986 6648 9972 10079 13296 19944 20158 30237 39888 40316 60474 80632 90711 120948 161264 181422 241896 362844 483792 725688 1451376 2791883 5583766 8375649 11167532 16751298 22335064 25126947 33502596 44670128 50253894 67005192 100507788 134010384 201015576 402031152