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422733696 = 27371117292
BaseRepresentation
bin11001001100100…
…110011110000000
31002110110002121120
4121030212132000
51331204434241
6105540352240
713322114520
oct3114463600
91073402546
10422733696
111a76930a0
12b96a5680
13697710a8
1440201680
15271a4666
hex19326780

422733696 has 384 divisors, whose sum is σ = 1535189760. Its totient is φ = 99778560.

The previous prime is 422733677. The next prime is 422733697. The reversal of 422733696 is 696337224.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422733697) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14577010 + ... + 14577038.

It is an arithmetic number, because the mean of its divisors is an integer number (3997890).

Almost surely, 2422733696 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 422733696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (767594880).

422733696 is an abundant number, since it is smaller than the sum of its proper divisors (1112456064).

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

422733696 is a wasteful number, since it uses less digits than its factorization.

422733696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 69 counting only the distinct ones).

The product of its digits is 326592, while the sum is 42.

The square root of 422733696 is about 20560.4887101450. The cubic root of 422733696 is about 750.5085120317.

The spelling of 422733696 in words is "four hundred twenty-two million, seven hundred thirty-three thousand, six hundred ninety-six".