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742816040 = 23518570401
BaseRepresentation
bin101100010001100…
…111100100101000
31220202201222001012
4230101213210220
53010130103130
6201413043052
724256555301
oct5421474450
91822658035
10742816040
1135133375a
12188926488
13bab80925
14709217a8
154532d995
hex2c467928

742816040 has 16 divisors (see below), whose sum is σ = 1671336180. Its totient is φ = 297126400.

The previous prime is 742816021. The next prime is 742816043. The reversal of 742816040 is 40618247.

It can be written as a sum of positive squares in 2 ways, for example, as 714279076 + 28536964 = 26726^2 + 5342^2 .

It is a junction number, because it is equal to n+sod(n) for n = 742815988 and 742816006.

It is not an unprimeable number, because it can be changed into a prime (742816043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9285161 + ... + 9285240.

Almost surely, 2742816040 is an apocalyptic number.

It is an amenable number.

742816040 is an abundant number, since it is smaller than the sum of its proper divisors (928520140).

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

742816040 is a wasteful number, since it uses less digits than its factorization.

742816040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18570412 (or 18570408 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 32.

The square root of 742816040 is about 27254.6517130563. The cubic root of 742816040 is about 905.6500686367.

The spelling of 742816040 in words is "seven hundred forty-two million, eight hundred sixteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 18570401 37140802 74281604 92852005 148563208 185704010 371408020 742816040