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42464730 = 23571131593
BaseRepresentation
bin1010000111111…
…1010111011010
32221220102122210
42201333113122
541332332410
64114055550
71023641610
oct241772732
987812583
1042464730
1121a74420
121227a5b6
138a4a679
1458d56b0
153adc220
hex287f5da

42464730 has 128 divisors (see below), whose sum is σ = 131383296. Its totient is φ = 8524800.

The previous prime is 42464717. The next prime is 42464749. The reversal of 42464730 is 3746424.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 71314 + ... + 71906.

It is an arithmetic number, because the mean of its divisors is an integer number (1026432).

Almost surely, 242464730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42464730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65691648).

42464730 is an abundant number, since it is smaller than the sum of its proper divisors (88918566).

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

42464730 is a wasteful number, since it uses less digits than its factorization.

42464730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 652.

The product of its (nonzero) digits is 16128, while the sum is 30.

The square root of 42464730 is about 6516.4967582283. The cubic root of 42464730 is about 348.8800391205.

The spelling of 42464730 in words is "forty-two million, four hundred sixty-four thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 31 33 35 42 55 62 66 70 77 93 105 110 154 155 165 186 210 217 231 310 330 341 385 434 462 465 593 651 682 770 930 1023 1085 1155 1186 1302 1705 1779 2046 2170 2310 2387 2965 3255 3410 3558 4151 4774 5115 5930 6510 6523 7161 8302 8895 10230 11935 12453 13046 14322 17790 18383 19569 20755 23870 24906 32615 35805 36766 39138 41510 45661 55149 62265 65230 71610 91322 91915 97845 110298 124530 128681 136983 183830 195690 202213 228305 257362 273966 275745 386043 404426 456610 551490 606639 643405 684915 772086 1011065 1213278 1286810 1369830 1415491 1930215 2022130 2830982 3033195 3860430 4246473 6066390 7077455 8492946 14154910 21232365 42464730