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42055524 = 223572883
BaseRepresentation
bin1010000001101…
…1011101100100
32221010122100000
42200123131210
541231234044
64101221300
71020315600
oct240333544
987118300
1042055524
1121814a35
1212101830
138936334
14582a500
153a5ad69
hex281b764

42055524 has 108 divisors (see below), whose sum is σ = 128388624. Its totient is φ = 12002256.

The previous prime is 42055511. The next prime is 42055543. The reversal of 42055524 is 42555024.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 47187 + ... + 48069.

Almost surely, 242055524 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 42055524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64194312).

42055524 is an abundant number, since it is smaller than the sum of its proper divisors (86333100).

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

42055524 is a wasteful number, since it uses less digits than its factorization.

42055524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916 (or 895 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

The square root of 42055524 is about 6485.0230531587. The cubic root of 42055524 is about 347.7557739457.

Subtracting 42055524 from its reverse (42555024), we obtain a triangular number (499500 = T999).

The spelling of 42055524 in words is "forty-two million, fifty-five thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 81 84 98 108 126 147 162 189 196 243 252 294 324 378 441 486 567 588 756 882 883 972 1134 1323 1701 1764 1766 2268 2646 2649 3402 3532 3969 5292 5298 6181 6804 7938 7947 10596 11907 12362 15876 15894 18543 23814 23841 24724 31788 37086 43267 47628 47682 55629 71523 74172 86534 95364 111258 129801 143046 166887 173068 214569 222516 259602 286092 333774 389403 429138 500661 519204 667548 778806 858276 1001322 1168209 1501983 1557612 2002644 2336418 3003966 3504627 4672836 6007932 7009254 10513881 14018508 21027762 42055524