Search a number
-
+
478074870 = 2325721331269
BaseRepresentation
bin11100011111101…
…101011111110110
31020022120201102200
4130133231133312
51434341343440
6115234445330
714563366200
oct3437553766
91208521380
10478074870
112259517a9
12114133846
1378079650
14476c9770
152be86c30
hex1c7ed7f6

478074870 has 288 divisors, whose sum is σ = 1613364480. Its totient is φ = 97251840.

The previous prime is 478074851. The next prime is 478074881. The reversal of 478074870 is 78470874.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1777096 + ... + 1777364.

It is an arithmetic number, because the mean of its divisors is an integer number (5601960).

Almost surely, 2478074870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 478074870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (806682240).

478074870 is an abundant number, since it is smaller than the sum of its proper divisors (1135289610).

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

478074870 is a wasteful number, since it uses less digits than its factorization.

478074870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 330 counting only the distinct ones).

The product of its (nonzero) digits is 351232, while the sum is 45.

The square root of 478074870 is about 21864.9232790788. The cubic root of 478074870 is about 781.9253716587.

The spelling of 478074870 in words is "four hundred seventy-eight million, seventy-four thousand, eight hundred seventy".