Search a number
-
+
2471426640 = 24365311367
BaseRepresentation
bin1001001101001110…
…1111101001010000
320101020102111000000
42103103233221100
520030141123030
61045123130000
7115146531324
oct22323575120
96336374000
102471426640
111059068461
1258b813900
13305036937
14196333984
15e6e84860
hex934efa50

2471426640 has 280 divisors, whose sum is σ = 8899573248. Its totient is φ = 637320960.

The previous prime is 2471426627. The next prime is 2471426641. The reversal of 2471426640 is 466241742.

2471426640 is a `hidden beast` number, since 2 + 4 + 7 + 1 + 4 + 2 + 6 + 640 = 666.

2471426640 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×24714266402 = 12215899273803379200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2471426595 and 2471426604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2471426641) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1807237 + ... + 1808603.

Almost surely, 22471426640 is an apocalyptic number.

2471426640 is a gapful number since it is divisible by the number (20) 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 2471426640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4449786624).

2471426640 is an abundant number, since it is smaller than the sum of its proper divisors (6428146608).

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

2471426640 is a wasteful number, since it uses less digits than its factorization.

2471426640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1408 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 2471426640 is about 49713.4452638318. The cubic root of 2471426640 is about 1352.0183143534.

The spelling of 2471426640 in words is "two billion, four hundred seventy-one million, four hundred twenty-six thousand, six hundred forty".