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42365004 = 223112163179
BaseRepresentation
bin1010000110011…
…1000001001100
32221201100212020
42201213001030
541321140004
64112010140
71023045063
oct241470114
987640766
1042365004
1121a06500
1212230950
138a14166
1458ab1da
153abc8d9
hex286704c

42365004 has 72 divisors (see below), whose sum is σ = 109932480. Its totient is φ = 12687840.

The previous prime is 42364991. The next prime is 42365017. The reversal of 42365004 is 40056324.

It is an interprime number because it is at equal distance from previous prime (42364991) and next prime (42365017).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236587 + ... + 236765.

It is an arithmetic number, because the mean of its divisors is an integer number (1526840).

Almost surely, 242365004 is an apocalyptic number.

42365004 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42365004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54966240).

42365004 is an abundant number, since it is smaller than the sum of its proper divisors (67567476).

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

42365004 is a wasteful number, since it uses less digits than its factorization.

42365004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 358 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 42365004 is about 6508.8404497268. The cubic root of 42365004 is about 348.6067167471.

The spelling of 42365004 in words is "forty-two million, three hundred sixty-five thousand, four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 163 179 242 326 358 363 484 489 537 652 716 726 978 1074 1452 1793 1956 1969 2148 3586 3938 5379 5907 7172 7876 10758 11814 19723 21516 21659 23628 29177 39446 43318 58354 59169 64977 78892 86636 87531 116708 118338 129954 175062 236676 259908 320947 350124 641894 962841 1283788 1925682 3530417 3851364 7060834 10591251 14121668 21182502 42365004