Search a number
-
+
420042888 = 233310871789
BaseRepresentation
bin11001000010010…
…101100010001000
31002021101101112000
4121002111202020
51330012333023
6105402551000
713260206556
oct3102254210
91067341460
10420042888
111a6115491
12b8808460
136903b3b5
143db00bd6
1526d22243
hex19095888

420042888 has 64 divisors (see below), whose sum is σ = 1168512000. Its totient is φ = 139807296.

The previous prime is 420042869. The next prime is 420042977. The reversal of 420042888 is 888240024.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233898 + ... + 235686.

It is an arithmetic number, because the mean of its divisors is an integer number (18258000).

Almost surely, 2420042888 is an apocalyptic number.

It is an amenable number.

420042888 is an abundant number, since it is smaller than the sum of its proper divisors (748469112).

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

420042888 is a wasteful number, since it uses less digits than its factorization.

420042888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2891 (or 2881 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 420042888 is about 20494.9478652667. The cubic root of 420042888 is about 748.9127285494.

The spelling of 420042888 in words is "four hundred twenty million, forty-two thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1087 1789 2174 3261 3578 4348 5367 6522 7156 8696 9783 10734 13044 14312 16101 19566 21468 26088 29349 32202 39132 42936 48303 58698 64404 78264 96606 117396 128808 193212 234792 386424 1944643 3889286 5833929 7778572 11667858 15557144 17501787 23335716 35003574 46671432 52505361 70007148 105010722 140014296 210021444 420042888