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84195936 = 2534112953
BaseRepresentation
bin1010000010010…
…11101001100000
312212102121010000
411001023221200
5133023232221
612204340000
72041440126
oct501135140
9185377100
1084195936
1143587720
1224244600
131459c1a6
14b279916
1575d1e26
hex504ba60

84195936 has 120 divisors (see below), whose sum is σ = 270220104. Its totient is φ = 25505280.

The previous prime is 84195931. The next prime is 84195949. The reversal of 84195936 is 63959148.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 84195891 and 84195900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84195931) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 27036 + ... + 29988.

Almost surely, 284195936 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 84195936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135110052).

84195936 is an abundant number, since it is smaller than the sum of its proper divisors (186024168).

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

84195936 is a wasteful number, since it uses less digits than its factorization.

84195936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2986 (or 2969 counting only the distinct ones).

The product of its digits is 233280, while the sum is 45.

The square root of 84195936 is about 9175.8343489843. The cubic root of 84195936 is about 438.2921676110.

The spelling of 84195936 in words is "eighty-four million, one hundred ninety-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 81 88 96 99 108 132 144 162 176 198 216 264 288 297 324 352 396 432 528 594 648 792 864 891 1056 1188 1296 1584 1782 2376 2592 2953 3168 3564 4752 5906 7128 8859 9504 11812 14256 17718 23624 26577 28512 32483 35436 47248 53154 64966 70872 79731 94496 97449 106308 129932 141744 159462 194898 212616 239193 259864 283488 292347 318924 389796 425232 478386 519728 584694 637848 779592 850464 877041 956772 1039456 1169388 1275696 1559184 1754082 1913544 2338776 2551392 2631123 3118368 3508164 3827088 4677552 5262246 7016328 7654176 9355104 10524492 14032656 21048984 28065312 42097968 84195936