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742649348 = 22737719997
BaseRepresentation
bin101100010000111…
…110111000000100
31220202102111101102
4230100332320010
53010104234343
6201405315232
724255262310
oct5420767004
91822374342
10742649348
1135122a4a1
12188865b18
13bab22aac
14708bab40
15452e93b8
hex2c43ee04

742649348 has 48 divisors (see below), whose sum is σ = 1529095680. Its totient is φ = 308935296.

The previous prime is 742649321. The next prime is 742649351. The reversal of 742649348 is 843946247.

It is a happy number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 744386 + ... + 745382.

It is an arithmetic number, because the mean of its divisors is an integer number (31856160).

Almost surely, 2742649348 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 742649348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (764547840).

742649348 is an abundant number, since it is smaller than the sum of its proper divisors (786446332).

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

742649348 is a wasteful number, since it uses less digits than its factorization.

742649348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1762 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 47.

The square root of 742649348 is about 27251.5934946931. The cubic root of 742649348 is about 905.5823192852.

The spelling of 742649348 in words is "seven hundred forty-two million, six hundred forty-nine thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 28 37 74 148 259 518 719 997 1036 1438 1994 2876 3988 5033 6979 10066 13958 20132 26603 27916 36889 53206 73778 106412 147556 186221 258223 372442 516446 716843 744884 1032892 1433686 2867372 5017901 10035802 20071604 26523191 53046382 106092764 185662337 371324674 742649348