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42347448 = 23341113457
BaseRepresentation
bin1010000110001…
…0101110111000
32221200110210000
42201202232320
541320104243
64111353000
71022642643
oct241425670
987613700
1042347448
11219a42a0
1212222760
138a09180
1458a4a5a
153ab75d3
hex2862bb8

42347448 has 160 divisors (see below), whose sum is σ = 139653360. Its totient is φ = 11819520.

The previous prime is 42347443. The next prime is 42347449. The reversal of 42347448 is 84474324.

It is a happy number.

It is a super-2 number, since 2×423474482 = 3586612704225408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42347441) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 92436 + ... + 92892.

Almost surely, 242347448 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 42347448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69826680).

42347448 is an abundant number, since it is smaller than the sum of its proper divisors (97305912).

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

42347448 is a wasteful number, since it uses less digits than its factorization.

42347448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 499 (or 486 counting only the distinct ones).

The product of its digits is 86016, while the sum is 36.

The square root of 42347448 is about 6507.4916826685. The cubic root of 42347448 is about 348.5585560443.

The spelling of 42347448 in words is "forty-two million, three hundred forty-seven thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 18 22 24 26 27 33 36 39 44 52 54 66 72 78 81 88 99 104 108 117 132 143 156 162 198 216 234 264 286 297 312 324 351 396 429 457 468 572 594 648 702 792 858 891 914 936 1053 1144 1188 1287 1371 1404 1716 1782 1828 2106 2376 2574 2742 2808 3432 3564 3656 3861 4113 4212 5027 5148 5484 5941 7128 7722 8226 8424 10054 10296 10968 11583 11882 12339 15081 15444 16452 17823 20108 23166 23764 24678 30162 30888 32904 35646 37017 40216 45243 46332 47528 49356 53469 60324 65351 71292 74034 90486 92664 98712 106938 120648 130702 135729 142584 148068 160407 180972 196053 213876 261404 271458 296136 320814 361944 392106 407187 427752 481221 522808 542916 588159 641628 784212 814374 962442 1085832 1176318 1283256 1568424 1628748 1764477 1924884 2352636 3257496 3528954 3849768 4705272 5293431 7057908 10586862 14115816 21173724 42347448