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742906152 = 233210318141
BaseRepresentation
bin101100010001111…
…101100100101000
31220202220112122200
4230101331210220
53010140444102
6201415020200
724260412102
oct5421754450
91822815580
10742906152
1135139542a
1218896a660
13babb2951
1470946572
154534a51c
hex2c47d928

742906152 has 24 divisors (see below), whose sum is σ = 2012037690. Its totient is φ = 247635360.

The previous prime is 742906139. The next prime is 742906159. The reversal of 742906152 is 251609247.

It can be written as a sum of positive squares in only one way, i.e., 514110276 + 228795876 = 22674^2 + 15126^2 .

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 not an unprimeable number, because it can be changed into a prime (742906159) 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, 5158999 + ... + 5159142.

Almost surely, 2742906152 is an apocalyptic number.

742906152 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

742906152 is an abundant number, since it is smaller than the sum of its proper divisors (1269131538).

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

742906152 is a wasteful number, since it uses less digits than its factorization.

742906152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10318153 (or 10318146 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 742906152 is about 27256.3048119146. The cubic root of 742906152 is about 905.6866890267.

The spelling of 742906152 in words is "seven hundred forty-two million, nine hundred six thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 10318141 20636282 30954423 41272564 61908846 82545128 92863269 123817692 185726538 247635384 371453076 742906152