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45192140 = 2257437507
BaseRepresentation
bin1010110001100…
…1001111001100
310011000222221222
42230121033030
543032122030
64252342512
71056061340
oct254311714
9104028858
1045192140
1123567584
1213174a38
139493c16
146005620
153e7a3e5
hex2b193cc

45192140 has 48 divisors (see below), whose sum is σ = 110998272. Its totient is φ = 15132096.

The previous prime is 45192113. The next prime is 45192149. The reversal of 45192140 is 4129154.

45192140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (45192149) 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 15 ways as a sum of consecutive naturals, for example, 2267 + ... + 9773.

It is an arithmetic number, because the mean of its divisors is an integer number (2312464).

Almost surely, 245192140 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 45192140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55499136).

45192140 is an abundant number, since it is smaller than the sum of its proper divisors (65806132).

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

45192140 is a wasteful number, since it uses less digits than its factorization.

45192140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7566 (or 7564 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 45192140 is about 6722.5099479287. The cubic root of 45192140 is about 356.1948497781.

The spelling of 45192140 in words is "forty-five million, one hundred ninety-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 43 70 86 140 172 215 301 430 602 860 1204 1505 3010 6020 7507 15014 30028 37535 52549 75070 105098 150140 210196 262745 322801 525490 645602 1050980 1291204 1614005 2259607 3228010 4519214 6456020 9038428 11298035 22596070 45192140