Search a number
-
+
424787004 = 223410712253
BaseRepresentation
bin11001010100011…
…011110000111100
31002121022102020000
4121110123300330
51332221141004
6110052354300
713345426035
oct3124336074
91077272200
10424787004
111a8865844
12ba315990
136a00c875
14405b7a8c
152745cc39
hex1951bc3c

424787004 has 60 divisors (see below), whose sum is σ = 1120946904. Its totient is φ = 140260896.

The previous prime is 424787003. The next prime is 424787039. The reversal of 424787004 is 400787424.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 424787004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (424787003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 28542 + ... + 40794.

Almost surely, 2424787004 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 424787004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (560473452).

424787004 is an abundant number, since it is smaller than the sum of its proper divisors (696159900).

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

424787004 is a wasteful number, since it uses less digits than its factorization.

424787004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12376 (or 12365 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 36.

The square root of 424787004 is about 20610.3615688808. The cubic root of 424787004 is about 751.7216767480.

The spelling of 424787004 in words is "four hundred twenty-four million, seven hundred eighty-seven thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 107 108 162 214 321 324 428 642 963 1284 1926 2889 3852 5778 8667 11556 12253 17334 24506 34668 36759 49012 73518 110277 147036 220554 330831 441108 661662 992493 1311071 1323324 1984986 2622142 3933213 3969972 5244284 7866426 11799639 15732852 23599278 35398917 47198556 70797834 106196751 141595668 212393502 424787004