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42009504 = 2533711827
BaseRepresentation
bin1010000001000…
…0001110100000
32221001022012120
42200100032200
541223301004
64100224240
71020034455
oct240201640
987038176
1042009504
11217933a9
121209b080
13891b3c4
14581782c
153a4c3d9
hex28103a0

42009504 has 48 divisors (see below), whose sum is σ = 113264928. Its totient is φ = 13623552.

The previous prime is 42009491. The next prime is 42009509. The reversal of 42009504 is 40590024.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (42009509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2362 + ... + 9465.

It is an arithmetic number, because the mean of its divisors is an integer number (2359686).

Almost surely, 242009504 is an apocalyptic number.

It is an amenable number.

42009504 is an abundant number, since it is smaller than the sum of its proper divisors (71255424).

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

42009504 is a wasteful number, since it uses less digits than its factorization.

42009504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11877 (or 11869 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 42009504 is about 6481.4739064506. The cubic root of 42009504 is about 347.6288816836.

Adding to 42009504 its reverse (40590024), we get a palindrome (82599528).

The spelling of 42009504 in words is "forty-two million, nine thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 222 296 444 592 888 1184 1776 3552 11827 23654 35481 47308 70962 94616 141924 189232 283848 378464 437599 567696 875198 1135392 1312797 1750396 2625594 3500792 5251188 7001584 10502376 14003168 21004752 42009504