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99531504 = 2434611259
BaseRepresentation
bin1011110111010…
…11101011110000
320221021201120000
411323223223300
5200440002004
613513150000
72316001212
oct573535360
9227251500
1099531504
1151201546
12293bb300
131780b4a7
14d30c5b2
158b10c39
hex5eebaf0

99531504 has 100 divisors (see below), whose sum is σ = 293028120. Its totient is φ = 32607360.

The previous prime is 99531503. The next prime is 99531529. The reversal of 99531504 is 40513599.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99531503) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 78427 + ... + 79685.

Almost surely, 299531504 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 99531504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146514060).

99531504 is an abundant number, since it is smaller than the sum of its proper divisors (193496616).

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

99531504 is a wasteful number, since it uses less digits than its factorization.

99531504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The square root of 99531504 is about 9976.5476994800. The cubic root of 99531504 is about 463.4328931658.

The spelling of 99531504 in words is "ninety-nine million, five hundred thirty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 81 108 122 144 162 183 216 244 324 366 432 488 549 648 732 976 1098 1259 1296 1464 1647 2196 2518 2928 3294 3777 4392 4941 5036 6588 7554 8784 9882 10072 11331 13176 15108 19764 20144 22662 26352 30216 33993 39528 45324 60432 67986 76799 79056 90648 101979 135972 153598 181296 203958 230397 271944 307196 407916 460794 543888 614392 691191 815832 921588 1228784 1382382 1631664 1843176 2073573 2764764 3686352 4147146 5529528 6220719 8294292 11059056 12441438 16588584 24882876 33177168 49765752 99531504