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42990738 = 2372315389
BaseRepresentation
bin1010001111111…
…1110010010010
32222220011012120
42203333302102
542001200423
64133235110
71031262300
oct243776222
988804176
1042990738
11222a363a
1212492a96
138ba2c0b
1459d1270
153b92ee3
hex28ffc92

42990738 has 96 divisors (see below), whose sum is σ = 106375680. Its totient is φ = 11531520.

The previous prime is 42990683. The next prime is 42990793. The reversal of 42990738 is 83709924.

It is an interprime number because it is at equal distance from previous prime (42990683) and next prime (42990793).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 42990738.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 482998 + ... + 483086.

It is an arithmetic number, because the mean of its divisors is an integer number (1108080).

Almost surely, 242990738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42990738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53187840).

42990738 is an abundant number, since it is smaller than the sum of its proper divisors (63384942).

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

42990738 is a wasteful number, since it uses less digits than its factorization.

42990738 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 42990738 is about 6556.7322653895. The cubic root of 42990738 is about 350.3146503775.

The spelling of 42990738 in words is "forty-two million, nine hundred ninety thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 31 42 49 53 62 89 93 98 106 147 159 178 186 217 267 294 318 371 434 534 623 651 742 1113 1246 1302 1519 1643 1869 2226 2597 2759 3038 3286 3738 4361 4557 4717 4929 5194 5518 7791 8277 8722 9114 9434 9858 11501 13083 14151 15582 16554 19313 23002 26166 28302 33019 34503 38626 57939 66038 69006 80507 99057 115878 135191 146227 161014 198114 231133 241521 270382 292454 405573 438681 462266 483042 693399 811146 877362 1023589 1386798 2047178 3070767 6141534 7165123 14330246 21495369 42990738