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3742445520 = 2432511598009
BaseRepresentation
bin1101111100010001…
…0010111111010000
3100122211001221010100
43133010102333100
530131031224040
61415205332400
7161512155612
oct33704227720
910584057110
103742445520
111650570790
12885407100
13478465608
1427706cdb2
1516d84cb30
hexdf112fd0

3742445520 has 240 divisors, whose sum is σ = 13945089600. Its totient is φ = 891770880.

The previous prime is 3742445507. The next prime is 3742445537. The reversal of 3742445520 is 255442473.

3742445520 is a `hidden beast` number, since 3 + 74 + 24 + 45 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 463276 + ... + 471284.

It is an arithmetic number, because the mean of its divisors is an integer number (58104540).

Almost surely, 23742445520 is an apocalyptic number.

3742445520 is a gapful number since it is divisible by the number (30) 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 3742445520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6972544800).

3742445520 is an abundant number, since it is smaller than the sum of its proper divisors (10202644080).

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

3742445520 is a wasteful number, since it uses less digits than its factorization.

3742445520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8098 (or 8089 counting only the distinct ones).

The product of its (nonzero) digits is 134400, while the sum is 36.

The square root of 3742445520 is about 61175.5304022777. The cubic root of 3742445520 is about 1552.5722838134.

Adding to 3742445520 its reverse (255442473), we get a palindrome (3997887993).

It can be divided in two parts, 37424 and 45520, that added together give a square (82944 = 2882).

The spelling of 3742445520 in words is "three billion, seven hundred forty-two million, four hundred forty-five thousand, five hundred twenty".