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424871616 = 263131721931
BaseRepresentation
bin11001010100110…
…000011011000000
31002121110201021210
4121110300123000
51332231342431
6110054250120
713346230521
oct3124603300
91077421253
10424871616
111a8913374
12ba356940
136a03c230
14405da848
1527477d46
hex195306c0

424871616 has 336 divisors, whose sum is σ = 1397365760. Its totient is φ = 112803840.

The previous prime is 424871609. The next prime is 424871621. The reversal of 424871616 is 616178424.

It is a Harshad number since it is a multiple of its sum of digits (39).

Its product of digits (64512) is a multiple of the sum of its prime factors (112).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13705521 + ... + 13705551.

Almost surely, 2424871616 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 424871616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (698682880).

424871616 is an abundant number, since it is smaller than the sum of its proper divisors (972494144).

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

424871616 is a wasteful number, since it uses less digits than its factorization.

424871616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 85 counting only the distinct ones).

The product of its digits is 64512, while the sum is 39.

The square root of 424871616 is about 20612.4141235324. The cubic root of 424871616 is about 751.7715844675.

The spelling of 424871616 in words is "four hundred twenty-four million, eight hundred seventy-one thousand, six hundred sixteen".