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99766352 = 247653
BaseRepresentation
bin1011111001001…
…01000001010000
320221201122201002
411330211001100
5201020010402
613522201132
72321000000
oct574450120
9227648632
1099766352
1151351a34
12294b31a8
131789135a
14d370000
158b5a602
hex5f25050

99766352 has 70 divisors (see below), whose sum is σ = 229768218. Its totient is φ = 41950272.

The previous prime is 99766307. The next prime is 99766361. The reversal of 99766352 is 25366799.

It can be written as a sum of positive squares in only one way, i.e., 92236816 + 7529536 = 9604^2 + 2744^2 .

It is a junction number, because it is equal to n+sod(n) for n = 99766297 and 99766306.

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 13 ways as a sum of consecutive naturals, for example, 1882358 + ... + 1882410.

Almost surely, 299766352 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 99766352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114884109).

99766352 is an abundant number, since it is smaller than the sum of its proper divisors (130001866).

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

99766352 is an frugal number, since it uses more digits than its factorization.

99766352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 62 counting only the distinct ones).

The product of its digits is 612360, while the sum is 47.

The square root of 99766352 is about 9988.3107680929. The cubic root of 99766352 is about 463.7971021340.

The spelling of 99766352 in words is "ninety-nine million, seven hundred sixty-six thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 49 53 56 98 106 112 196 212 343 371 392 424 686 742 784 848 1372 1484 2401 2597 2744 2968 4802 5194 5488 5936 9604 10388 16807 18179 19208 20776 33614 36358 38416 41552 67228 72716 117649 127253 134456 145432 235298 254506 268912 290864 470596 509012 890771 941192 1018024 1781542 1882384 2036048 3563084 6235397 7126168 12470794 14252336 24941588 49883176 99766352