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42521148 = 22321726167
BaseRepresentation
bin1010001000110…
…1001000111100
32222000022001100
42202031020330
541341134043
64115213100
71024265235
oct242151074
988008040
1042521148
112200284a
12122a7190
138a6a257
14590c08c
153aedcd3
hex288d23c

42521148 has 108 divisors (see below), whose sum is σ = 117782392. Its totient is φ = 12925440.

The previous prime is 42521117. The next prime is 42521153. The reversal of 42521148 is 84112524.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 634611 + ... + 634677.

Almost surely, 242521148 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 42521148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58891196).

42521148 is an abundant number, since it is smaller than the sum of its proper divisors (75261244).

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

42521148 is a wasteful number, since it uses less digits than its factorization.

42521148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 150 counting only the distinct ones).

The product of its digits is 2560, while the sum is 27.

The square root of 42521148 is about 6520.8241810372. The cubic root of 42521148 is about 349.0344763329.

The spelling of 42521148 in words is "forty-two million, five hundred twenty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 61 67 68 102 122 134 153 183 201 204 244 268 289 306 366 402 549 578 603 612 732 804 867 1037 1098 1139 1156 1206 1734 2074 2196 2278 2412 2601 3111 3417 3468 4087 4148 4556 5202 6222 6834 8174 9333 10251 10404 12261 12444 13668 16348 17629 18666 19363 20502 24522 35258 36783 37332 38726 41004 49044 52887 58089 69479 70516 73566 77452 105774 116178 138958 147132 158661 174267 208437 211548 232356 277916 317322 348534 416874 625311 634644 697068 833748 1181143 1250622 2362286 2501244 3543429 4724572 7086858 10630287 14173716 21260574 42521148