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42623352 = 23321797359
BaseRepresentation
bin1010001010011…
…0000101111000
32222012111020200
42202212011320
541402421402
64121322200
71025202222
oct242460570
988174220
1042623352
1122072612
1212336360
138aa4925
145937412
153b1e21c
hex28a6178

42623352 has 96 divisors (see below), whose sum is σ = 123832800. Its totient is φ = 13197312.

The previous prime is 42623351. The next prime is 42623353. The reversal of 42623352 is 25332624.

42623352 is a `hidden beast` number, since 4 + 2 + 623 + 35 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (42623351) and next prime (42623353).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42623351) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 118549 + ... + 118907.

It is an arithmetic number, because the mean of its divisors is an integer number (1289925).

Almost surely, 242623352 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 42623352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61916400).

42623352 is an abundant number, since it is smaller than the sum of its proper divisors (81209448).

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

42623352 is a wasteful number, since it uses less digits than its factorization.

42623352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 478 counting only the distinct ones).

The product of its digits is 8640, while the sum is 27.

The square root of 42623352 is about 6528.6562170174. The cubic root of 42623352 is about 349.3138994621.

Adding to 42623352 its reverse (25332624), we get a palindrome (67955976).

The spelling of 42623352 in words is "forty-two million, six hundred twenty-three thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 97 102 136 153 194 204 291 306 359 388 408 582 612 718 776 873 1077 1164 1224 1436 1649 1746 2154 2328 2872 3231 3298 3492 4308 4947 6103 6462 6596 6984 8616 9894 12206 12924 13192 14841 18309 19788 24412 25848 29682 34823 36618 39576 48824 54927 59364 69646 73236 104469 109854 118728 139292 146472 208938 219708 278584 313407 417876 439416 591991 626814 835752 1183982 1253628 1775973 2367964 2507256 3551946 4735928 5327919 7103892 10655838 14207784 21311676 42623352