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842213952 = 263231101467
BaseRepresentation
bin110010001100110…
…010101001000000
32011200202220100100
4302030302221000
53211101321302
6215323322400
726604462156
oct6214625100
92150686310
10842213952
113a2453898
121b6080400
13105643368
147dbd73d6
154de14d1c
hex32332a40

842213952 has 168 divisors, whose sum is σ = 2521988352. Its totient is φ = 268416000.

The previous prime is 842213947. The next prime is 842213959. The reversal of 842213952 is 259312248.

It is a happy number.

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 (842213959) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1803223 + ... + 1803689.

Almost surely, 2842213952 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 842213952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1260994176).

842213952 is an abundant number, since it is smaller than the sum of its proper divisors (1679774400).

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

842213952 is a wasteful number, since it uses less digits than its factorization.

842213952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 617 (or 604 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 842213952 is about 29020.9226593504. The cubic root of 842213952 is about 944.3670171092.

The spelling of 842213952 in words is "eight hundred forty-two million, two hundred thirteen thousand, nine hundred fifty-two".