Search a number
-
+
483924672 = 26337113637
BaseRepresentation
bin11100110110000…
…001101011000000
31020201120220212000
4130312001223000
51442341042142
6120004104000
714664202050
oct3466015300
91221526760
10483924672
11229187850
12116095000
137934717a
14483ad560
152c74014c
hex1cd81ac0

483924672 has 224 divisors, whose sum is σ = 1774179840. Its totient is φ = 125660160.

The previous prime is 483924671. The next prime is 483924673. The reversal of 483924672 is 276429384.

It is an interprime number because it is at equal distance from previous prime (483924671) and next prime (483924673).

It is a tau number, because it is divible by the number of its divisors (224).

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

It is not an unprimeable number, because it can be changed into a prime (483924671) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 131238 + ... + 134874.

Almost surely, 2483924672 is an apocalyptic number.

483924672 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 483924672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (887089920).

483924672 is an abundant number, since it is smaller than the sum of its proper divisors (1290255168).

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

483924672 is a wasteful number, since it uses less digits than its factorization.

483924672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3676 (or 3660 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 483924672 is about 21998.2879333825. The cubic root of 483924672 is about 785.1017067025.

The spelling of 483924672 in words is "four hundred eighty-three million, nine hundred twenty-four thousand, six hundred seventy-two".