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42510744 = 2334172227
BaseRepresentation
bin1010001000101…
…0100110011000
32221222202210000
42202022212120
541340320434
64115053000
71024223013
oct242124630
987882700
1042510744
1121aa5a51
12122a1160
138a655b3
14590837a
153aeab99
hex288a998

42510744 has 120 divisors (see below), whose sum is σ = 127042740. Its totient is φ = 13277952.

The previous prime is 42510737. The next prime is 42510749. The reversal of 42510744 is 44701524.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42510749) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 187159 + ... + 187385.

Almost surely, 242510744 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 42510744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63521370).

42510744 is an abundant number, since it is smaller than the sum of its proper divisors (84531996).

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

42510744 is a wasteful number, since it uses less digits than its factorization.

42510744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 249 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

The square root of 42510744 is about 6520.0263803147. The cubic root of 42510744 is about 349.0060069628.

The spelling of 42510744 in words is "forty-two million, five hundred ten thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 227 289 306 324 408 454 459 578 612 648 681 867 908 918 1156 1224 1362 1377 1734 1816 1836 2043 2312 2601 2724 2754 3468 3672 3859 4086 5202 5448 5508 6129 6936 7718 7803 8172 10404 11016 11577 12258 15436 15606 16344 18387 20808 23154 23409 24516 30872 31212 34731 36774 46308 46818 49032 62424 65603 69462 73548 92616 93636 104193 131206 138924 147096 187272 196809 208386 262412 277848 312579 393618 416772 524824 590427 625158 787236 833544 1180854 1250316 1574472 1771281 2361708 2500632 3542562 4723416 5313843 7085124 10627686 14170248 21255372 42510744