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99758304 = 253512829
BaseRepresentation
bin1011111001000…
…11000011100000
320221201020200000
411330203003200
5201014231204
613522100000
72320634352
oct574430340
9227636600
1099758304
1151346988
12294aa600
131788a7a9
14d36b0d2
158b58039
hex5f230e0

99758304 has 72 divisors (see below), whose sum is σ = 294217560. Its totient is φ = 33250176.

The previous prime is 99758287. The next prime is 99758339. The reversal of 99758304 is 40385799.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 99758304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1362 + ... + 14190.

It is an arithmetic number, because the mean of its divisors is an integer number (4086355).

Almost surely, 299758304 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 99758304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147108780).

99758304 is an abundant number, since it is smaller than the sum of its proper divisors (194459256).

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

99758304 is a wasteful number, since it uses less digits than its factorization.

99758304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12854 (or 12834 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The square root of 99758304 is about 9987.9078890426. The cubic root of 99758304 is about 463.7846305295.

The spelling of 99758304 in words is "ninety-nine million, seven hundred fifty-eight thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 864 972 1296 1944 2592 3888 7776 12829 25658 38487 51316 76974 102632 115461 153948 205264 230922 307896 346383 410528 461844 615792 692766 923688 1039149 1231584 1385532 1847376 2078298 2771064 3117447 3694752 4156596 5542128 6234894 8313192 11084256 12469788 16626384 24939576 33252768 49879152 99758304