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442093752 = 23326140191
BaseRepresentation
bin11010010110011…
…101000010111000
31010210212200121200
4122112131002320
51401134000002
6111511334200
713645510032
oct3226350270
91123780550
10442093752
11207606641
12104081360
137078c149
1442a00c52
1528c2ab1c
hex1a59d0b8

442093752 has 24 divisors (see below), whose sum is σ = 1197337440. Its totient is φ = 147364560.

The previous prime is 442093739. The next prime is 442093753. The reversal of 442093752 is 257390244.

It is a tau number, because it is divible by the number of its divisors (24).

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 (442093753) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3070024 + ... + 3070167.

It is an arithmetic number, because the mean of its divisors is an integer number (49889060).

Almost surely, 2442093752 is an apocalyptic number.

It is an amenable number.

442093752 is an abundant number, since it is smaller than the sum of its proper divisors (755243688).

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

442093752 is a wasteful number, since it uses less digits than its factorization.

442093752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6140203 (or 6140196 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 442093752 is about 21026.0255873525. The cubic root of 442093752 is about 761.7950137849.

It can be divided in two parts, 44209 and 3752, that added together give a square (47961 = 2192).

The spelling of 442093752 in words is "four hundred forty-two million, ninety-three thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 6140191 12280382 18420573 24560764 36841146 49121528 55261719 73682292 110523438 147364584 221046876 442093752