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42819804 = 223217313761
BaseRepresentation
bin1010001101011…
…0000011011100
32222120110201200
42203112003130
541430213204
64125435500
71026651036
oct243260334
988513650
1042819804
1122197175
121240bb90
138b43181
145988c56
153b5c539
hex28d60dc

42819804 has 144 divisors (see below), whose sum is σ = 123492096. Its totient is φ = 12441600.

The previous prime is 42819797. The next prime is 42819811. The reversal of 42819804 is 40891824.

It is an interprime number because it is at equal distance from previous prime (42819797) and next prime (42819811).

It is a super-2 number, since 2×428198042 = 3667071229196832, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 701934 + ... + 701994.

It is an arithmetic number, because the mean of its divisors is an integer number (857584).

Almost surely, 242819804 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 42819804, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61746048).

42819804 is an abundant number, since it is smaller than the sum of its proper divisors (80672292).

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

42819804 is a wasteful number, since it uses less digits than its factorization.

42819804 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 151 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The square root of 42819804 is about 6543.6842833376. The cubic root of 42819804 is about 349.8497423052.

The spelling of 42819804 in words is "forty-two million, eight hundred nineteen thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 17 18 31 34 36 37 51 61 62 68 74 93 102 111 122 124 148 153 183 186 204 222 244 279 306 333 366 372 444 527 549 558 612 629 666 732 1037 1054 1098 1116 1147 1258 1332 1581 1887 1891 2074 2108 2196 2257 2294 2516 3111 3162 3441 3774 3782 4148 4514 4588 4743 5661 5673 6222 6324 6771 6882 7548 7564 9028 9333 9486 10323 11322 11346 12444 13542 13764 17019 18666 18972 19499 20313 20646 22644 22692 27084 32147 34038 37332 38369 38998 40626 41292 58497 64294 68076 69967 76738 77996 81252 96441 115107 116994 128588 139934 153476 175491 192882 209901 230214 233988 279868 289323 345321 350982 385764 419802 460428 578646 629703 690642 701964 839604 1157292 1189439 1259406 1381284 2378878 2518812 3568317 4757756 7136634 10704951 14273268 21409902 42819804