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483969384 = 233318112379
BaseRepresentation
bin11100110110001…
…100100101101000
31020201200012012000
4130312030211220
51442344010014
6120005051000
714664446313
oct3466144550
91221605160
10483969384
112292083a8
121160b6a60
1379361622
14483c197a
152c74d509
hex1cd8c968

483969384 has 64 divisors (see below), whose sum is σ = 1351896000. Its totient is φ = 160418880.

The previous prime is 483969377. The next prime is 483969401.

It is a happy number.

483969384 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 483969384.

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, 32907 + ... + 45285.

It is an arithmetic number, because the mean of its divisors is an integer number (21123375).

Almost surely, 2483969384 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 483969384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (675948000).

483969384 is an abundant number, since it is smaller than the sum of its proper divisors (867926616).

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

483969384 is a wasteful number, since it uses less digits than its factorization.

483969384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12575 (or 12565 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The square root of 483969384 is about 21999.3041708141. The cubic root of 483969384 is about 785.1258856629.

The spelling of 483969384 in words is "four hundred eighty-three million, nine hundred sixty-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 181 216 362 543 724 1086 1448 1629 2172 3258 4344 4887 6516 9774 12379 13032 19548 24758 37137 39096 49516 74274 99032 111411 148548 222822 297096 334233 445644 668466 891288 1336932 2240599 2673864 4481198 6721797 8962396 13443594 17924792 20165391 26887188 40330782 53774376 60496173 80661564 120992346 161323128 241984692 483969384