Search a number
-
+
421471968 = 25317924527
BaseRepresentation
bin11001000111110…
…010011011100000
31002101001222211220
4121013302123200
51330344100333
6105453335040
713305311151
oct3107623340
91071058756
10421471968
111a6a01145
12b9197480
136941b9c8
143dd93928
15270058b3
hex191f26e0

421471968 has 48 divisors (see below), whose sum is σ = 1112590080. Its totient is φ = 139700096.

The previous prime is 421471961. The next prime is 421471991. The reversal of 421471968 is 869174124.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (421471961) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4921 + ... + 29447.

It is an arithmetic number, because the mean of its divisors is an integer number (23178960).

Almost surely, 2421471968 is an apocalyptic number.

421471968 is a gapful number since it is divisible by the number (48) 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 421471968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (556295040).

421471968 is an abundant number, since it is smaller than the sum of its proper divisors (691118112).

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

421471968 is a wasteful number, since it uses less digits than its factorization.

421471968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24719 (or 24711 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 421471968 is about 20529.7824635333. The cubic root of 421471968 is about 749.7610901264.

The spelling of 421471968 in words is "four hundred twenty-one million, four hundred seventy-one thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 179 358 537 716 1074 1432 2148 2864 4296 5728 8592 17184 24527 49054 73581 98108 147162 196216 294324 392432 588648 784864 1177296 2354592 4390333 8780666 13170999 17561332 26341998 35122664 52683996 70245328 105367992 140490656 210735984 421471968