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42410004 = 22371371547
BaseRepresentation
bin1010000111001…
…0000000010100
32221210122120220
42201302000110
541324110004
64112554340
71023323220
oct241620024
987718526
1042410004
1121a3729a
12122529b0
138a2b7a0
1458bd780
153acadd9
hex2872014

42410004 has 96 divisors (see below), whose sum is σ = 123734016. Its totient is φ = 11007360.

The previous prime is 42410003. The next prime is 42410009. The reversal of 42410004 is 40001424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42410003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77259 + ... + 77805.

It is an arithmetic number, because the mean of its divisors is an integer number (1288896).

Almost surely, 242410004 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 42410004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61867008).

42410004 is an abundant number, since it is smaller than the sum of its proper divisors (81324012).

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

42410004 is a wasteful number, since it uses less digits than its factorization.

42410004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 643 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 42410004 is about 6512.2963691773. The cubic root of 42410004 is about 348.7301027946.

Adding to 42410004 its reverse (40001424), we get a palindrome (82411428).

The spelling of 42410004 in words is "forty-two million, four hundred ten thousand, four".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 71 78 84 91 142 156 182 213 273 284 364 426 497 546 547 852 923 994 1092 1094 1491 1641 1846 1988 2188 2769 2982 3282 3692 3829 5538 5964 6461 6564 7111 7658 11076 11487 12922 14222 15316 19383 21333 22974 25844 28444 38766 38837 42666 45948 49777 77532 77674 85332 99554 116511 149331 155348 199108 233022 271859 298662 466044 504881 543718 597324 815577 1009762 1087436 1514643 1631154 2019524 3029286 3262308 3534167 6058572 7068334 10602501 14136668 21205002 42410004