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42407430 = 23513195997
BaseRepresentation
bin1010000111000…
…1011000000110
32221210112001120
42201301120012
541324014210
64112534410
71023312552
oct241613006
987715046
1042407430
1121a3536a
1212251406
138a2a570
1458bc862
153aca270
hex2871606

42407430 has 128 divisors (see below), whose sum is σ = 118540800. Its totient is φ = 9621504.

The previous prime is 42407429. The next prime is 42407441. The reversal of 42407430 is 3470424.

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 42407430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 437142 + ... + 437238.

It is an arithmetic number, because the mean of its divisors is an integer number (926100).

Almost surely, 242407430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42407430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59270400).

42407430 is an abundant number, since it is smaller than the sum of its proper divisors (76133370).

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

42407430 is a wasteful number, since it uses less digits than its factorization.

42407430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198.

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 42407430 is about 6512.0987400377. The cubic root of 42407430 is about 348.7230474668.

Adding to 42407430 its reverse (3470424), we get a palindrome (45877854).

The spelling of 42407430 in words is "forty-two million, four hundred seven thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 19 26 30 38 39 57 59 65 78 95 97 114 118 130 177 190 194 195 247 285 291 295 354 390 485 494 570 582 590 741 767 885 970 1121 1235 1261 1455 1482 1534 1770 1843 2242 2301 2470 2522 2910 3363 3686 3705 3783 3835 4602 5529 5605 5723 6305 6726 7410 7566 7670 9215 11058 11210 11446 11505 12610 14573 16815 17169 18430 18915 23010 23959 27645 28615 29146 33630 34338 37830 43719 47918 55290 57230 71877 72865 74399 85845 87438 108737 119795 143754 145730 148798 171690 217474 218595 223197 239590 326211 359385 371995 437190 446394 543685 652422 718770 743990 1087370 1115985 1413581 1631055 2231970 2827162 3262110 4240743 7067905 8481486 14135810 21203715 42407430