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42984216 = 23331179229
BaseRepresentation
bin1010001111111…
…0001100011000
32222212211021000
42203332030120
542000443331
64133145000
71031234262
oct243761430
988784230
1042984216
1122299750
121248b160
138b9cc62
1459ccb32
153b910e6
hex28fe318

42984216 has 128 divisors (see below), whose sum is σ = 132480000. Its totient is φ = 12804480.

The previous prime is 42984209. The next prime is 42984223. The reversal of 42984216 is 61248924.

42984216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (42984209) and next prime (42984223).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 187590 + ... + 187818.

It is an arithmetic number, because the mean of its divisors is an integer number (1035000).

Almost surely, 242984216 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 42984216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66240000).

42984216 is an abundant number, since it is smaller than the sum of its proper divisors (89495784).

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

42984216 is a wasteful number, since it uses less digits than its factorization.

42984216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 324 counting only the distinct ones).

The product of its digits is 27648, while the sum is 36.

The square root of 42984216 is about 6556.2348951208. The cubic root of 42984216 is about 350.2969344089.

The spelling of 42984216 in words is "forty-two million, nine hundred eighty-four thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 79 88 99 108 132 158 198 216 229 237 264 297 316 396 458 474 594 632 687 711 792 869 916 948 1188 1374 1422 1738 1832 1896 2061 2133 2376 2519 2607 2748 2844 3476 4122 4266 5038 5214 5496 5688 6183 6952 7557 7821 8244 8532 10076 10428 12366 15114 15642 16488 17064 18091 20152 20856 22671 23463 24732 30228 31284 36182 45342 46926 49464 54273 60456 62568 68013 72364 90684 93852 108546 136026 144728 162819 181368 187704 199001 217092 272052 325638 398002 434184 488457 544104 597003 651276 796004 976914 1194006 1302552 1592008 1791009 1953828 2388012 3582018 3907656 4776024 5373027 7164036 10746054 14328072 21492108 42984216