Search a number
-
+
510402042 = 232311914789
BaseRepresentation
bin11110011011000…
…001110111111010
31022120102002222100
4132123001313322
52021130331132
6122351404230
715435226413
oct3633016772
91276362870
10510402042
11242121677
12122b23676
1381987957
144bb0280a
152ec2037c
hex1e6c1dfa

510402042 has 48 divisors (see below), whose sum is σ = 1147760640. Its totient is φ = 163749600.

The previous prime is 510402029. The next prime is 510402049. The reversal of 510402042 is 240204015.

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 (510402049) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 104184 + ... + 108972.

It is an arithmetic number, because the mean of its divisors is an integer number (23911680).

Almost surely, 2510402042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 510402042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (573880320).

510402042 is an abundant number, since it is smaller than the sum of its proper divisors (637358598).

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

510402042 is a wasteful number, since it uses less digits than its factorization.

510402042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5019 (or 5016 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 510402042 is about 22592.0791871842. The cubic root of 510402042 is about 799.1668628627.

Adding to 510402042 its reverse (240204015), we get a palindrome (750606057).

The spelling of 510402042 in words is "five hundred ten million, four hundred two thousand, forty-two".

Divisors: 1 2 3 6 9 18 31 62 93 186 191 279 382 558 573 1146 1719 3438 4789 5921 9578 11842 14367 17763 28734 35526 43101 53289 86202 106578 148459 296918 445377 890754 914699 1336131 1829398 2672262 2744097 5488194 8232291 16464582 28355669 56711338 85067007 170134014 255201021 510402042