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874315008 = 28327232357
BaseRepresentation
bin110100000111001…
…111110100000000
32020221011210201100
4310013033310000
53242311040013
6222431334400
730444361230
oct6407176400
92227153640
10874315008
11409589896
12204981400
1310c1a2778
1484191cc0
1551b56473
hex341cfd00

874315008 has 216 divisors, whose sum is σ = 3007525248. Its totient is φ = 238841856.

The previous prime is 874314971. The next prime is 874315021. The reversal of 874315008 is 800513478.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 369766 + ... + 372122.

It is an arithmetic number, because the mean of its divisors is an integer number (13923728).

Almost surely, 2874315008 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 874315008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1503762624).

874315008 is an abundant number, since it is smaller than the sum of its proper divisors (2133210240).

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

874315008 is a wasteful number, since it uses less digits than its factorization.

874315008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2409 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 874315008 is about 29568.8181704985. The cubic root of 874315008 is about 956.2159371693.

The spelling of 874315008 in words is "eight hundred seventy-four million, three hundred fifteen thousand, eight".