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423616608 = 253317151191
BaseRepresentation
bin11001001111111…
…110000001100000
31002112002221202000
4121033332001200
51331421212413
6110011324000
713332452562
oct3117760140
91075087660
10423616608
111a8136478
12b9a50600
13699bcc1c
1440391332
15272cb073
hex193fe060

423616608 has 192 divisors, whose sum is σ = 1323786240. Its totient is φ = 131328000.

The previous prime is 423616603. The next prime is 423616639. The reversal of 423616608 is 806616324.

423616608 is a `hidden beast` number, since 4 + 2 + 36 + 16 + 608 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (423616603) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2217793 + ... + 2217983.

It is an arithmetic number, because the mean of its divisors is an integer number (6894720).

Almost surely, 2423616608 is an apocalyptic number.

423616608 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 423616608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (661893120).

423616608 is an abundant number, since it is smaller than the sum of its proper divisors (900169632).

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

423616608 is a wasteful number, since it uses less digits than its factorization.

423616608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 423616608 is about 20581.9485957963. The cubic root of 423616608 is about 751.0306470401.

The spelling of 423616608 in words is "four hundred twenty-three million, six hundred sixteen thousand, six hundred eight".