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42708930 = 235111723331
BaseRepresentation
bin1010001011101…
…0111111000010
32222100211122020
42202322333002
541413141210
64123222310
71026006555
oct242727702
988324566
1042708930
1122120940
1212377996
138b04874
14595a69c
153b39770
hex28bafc2

42708930 has 128 divisors (see below), whose sum is σ = 123918336. Its totient is φ = 9292800.

The previous prime is 42708929. The next prime is 42708931. The reversal of 42708930 is 3980724.

It is an interprime number because it is at equal distance from previous prime (42708929) and next prime (42708931).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 42708891 and 42708900.

It is not an unprimeable number, because it can be changed into a prime (42708931) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128865 + ... + 129195.

It is an arithmetic number, because the mean of its divisors is an integer number (968112).

Almost surely, 242708930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42708930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61959168).

42708930 is an abundant number, since it is smaller than the sum of its proper divisors (81209406).

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

42708930 is a wasteful number, since it uses less digits than its factorization.

42708930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392.

The product of its (nonzero) digits is 12096, while the sum is 33.

The square root of 42708930 is about 6535.2069592324. The cubic root of 42708930 is about 349.5475241402.

The spelling of 42708930 in words is "forty-two million, seven hundred eight thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 17 22 23 30 33 34 46 51 55 66 69 85 102 110 115 138 165 170 187 230 253 255 330 331 345 374 391 506 510 561 662 690 759 782 935 993 1122 1173 1265 1518 1655 1870 1955 1986 2346 2530 2805 3310 3641 3795 3910 4301 4965 5610 5627 5865 7282 7590 7613 8602 9930 10923 11254 11730 12903 15226 16881 18205 21505 21846 22839 25806 28135 33762 36410 38065 43010 45678 54615 56270 61897 64515 76130 83743 84405 109230 114195 123794 129030 129421 167486 168810 185691 228390 251229 258842 309485 371382 388263 418715 502458 618970 647105 776526 837430 928455 1256145 1294210 1423631 1856910 1941315 2512290 2847262 3882630 4270893 7118155 8541786 14236310 21354465 42708930