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84264696 = 233219311987
BaseRepresentation
bin1010000010111…
…00011011111000
312212120002102200
411001130123320
5133032432241
612210030200
72042144445
oct501343370
9185502380
1084264696
114362434a
1224278360
13145c4589
14b2969cc
1575e74b6
hex505c6f8

84264696 has 96 divisors (see below), whose sum is σ = 248102400. Its totient is φ = 25738560.

The previous prime is 84264679. The next prime is 84264701. The reversal of 84264696 is 69646248.

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 23 ways as a sum of consecutive naturals, for example, 41415 + ... + 43401.

It is an arithmetic number, because the mean of its divisors is an integer number (2584400).

Almost surely, 284264696 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 84264696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124051200).

84264696 is an abundant number, since it is smaller than the sum of its proper divisors (163837704).

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

84264696 is a wasteful number, since it uses less digits than its factorization.

84264696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2049 (or 2042 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 84264696 is about 9179.5803825665. The cubic root of 84264696 is about 438.4114479890.

The spelling of 84264696 in words is "eighty-four million, two hundred sixty-four thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 31 36 38 57 62 72 76 93 114 124 152 171 186 228 248 279 342 372 456 558 589 684 744 1116 1178 1368 1767 1987 2232 2356 3534 3974 4712 5301 5961 7068 7948 10602 11922 14136 15896 17883 21204 23844 35766 37753 42408 47688 61597 71532 75506 113259 123194 143064 151012 184791 226518 246388 302024 339777 369582 453036 492776 554373 679554 739164 906072 1108746 1170343 1359108 1478328 2217492 2340686 2718216 3511029 4434984 4681372 7022058 9362744 10533087 14044116 21066174 28088232 42132348 84264696