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42416556 = 223721331179
BaseRepresentation
bin1010000111001…
…1100110101100
32221210222120120
42201303212230
541324312211
64113044540
71023351300
oct241634654
987728516
1042416556
1121a41206
1212256750
138a31770
1458c1d00
153accd06
hex28739ac

42416556 has 144 divisors (see below), whose sum is σ = 128701440. Its totient is φ = 10765440.

The previous prime is 42416551. The next prime is 42416557. The reversal of 42416556 is 65561424.

42416556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×424165562 = 3598328445802272, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (42416551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236875 + ... + 237053.

It is an arithmetic number, because the mean of its divisors is an integer number (893760).

Almost surely, 242416556 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 42416556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64350720).

42416556 is an abundant number, since it is smaller than the sum of its proper divisors (86284884).

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

42416556 is a wasteful number, since it uses less digits than its factorization.

42416556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244 (or 235 counting only the distinct ones).

The product of its digits is 28800, while the sum is 33.

The square root of 42416556 is about 6512.7993981083. The cubic root of 42416556 is about 348.7480605229.

The spelling of 42416556 in words is "forty-two million, four hundred sixteen thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 31 39 42 49 52 62 78 84 91 93 98 124 147 156 179 182 186 196 217 273 294 358 364 372 403 434 537 546 588 637 651 716 806 868 1074 1092 1209 1253 1274 1302 1519 1612 1911 2148 2327 2418 2506 2548 2604 2821 3038 3759 3822 4557 4654 4836 5012 5549 5642 6076 6981 7518 7644 8463 8771 9114 9308 11098 11284 13962 15036 16289 16647 16926 17542 18228 19747 22196 26313 27924 32578 33294 33852 35084 38843 39494 48867 52626 59241 65156 66588 72137 77686 78988 97734 105252 114023 116529 118482 144274 155372 195468 216411 228046 233058 236964 271901 288548 342069 432822 456092 466116 504959 543802 684138 815703 865644 1009918 1087604 1368276 1514877 1631406 2019836 3029754 3262812 3534713 6059508 7069426 10604139 14138852 21208278 42416556