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84442944 = 2631741631
BaseRepresentation
bin1010000100001…
…11111101000000
312212220010221110
411002013331000
5133104133234
612213523320
72043516225
oct502077500
9185803843
1084442944
1143736263
1224343540
1314657751
14b30194c
1576301e9
hex5087f40

84442944 has 112 divisors (see below), whose sum is σ = 242718336. Its totient is φ = 25804800.

The previous prime is 84442937. The next prime is 84442951. The reversal of 84442944 is 44924448.

It is an interprime number because it is at equal distance from previous prime (84442937) and next prime (84442951).

It is a super-2 number, since 2×844429442 = 14261221582774272, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133509 + ... + 134139.

It is an arithmetic number, because the mean of its divisors is an integer number (2167128).

Almost surely, 284442944 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 84442944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121359168).

84442944 is an abundant number, since it is smaller than the sum of its proper divisors (158275392).

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

84442944 is a wasteful number, since it uses less digits than its factorization.

84442944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 694 counting only the distinct ones).

The product of its digits is 147456, while the sum is 39.

The square root of 84442944 is about 9189.2841941035. The cubic root of 84442944 is about 438.7203591960.

The spelling of 84442944 in words is "eighty-four million, four hundred forty-two thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 41 48 51 64 68 82 96 102 123 136 164 192 204 246 272 328 408 492 544 631 656 697 816 984 1088 1262 1312 1394 1632 1893 1968 2091 2524 2624 2788 3264 3786 3936 4182 5048 5576 7572 7872 8364 10096 10727 11152 15144 16728 20192 21454 22304 25871 30288 32181 33456 40384 42908 44608 51742 60576 64362 66912 77613 85816 103484 121152 128724 133824 155226 171632 206968 257448 310452 343264 413936 439807 514896 620904 686528 827872 879614 1029792 1241808 1319421 1655744 1759228 2059584 2483616 2638842 3518456 4967232 5277684 7036912 10555368 14073824 21110736 28147648 42221472 84442944