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99987424 = 2519473499
BaseRepresentation
bin1011111010110…
…10111111100000
320222010212221221
411331122333200
5201044044144
613531024424
72322610345
oct575327740
9228125857
1099987424
1151493039
122959b114
131793ab74
14d3ca7cc
158ba0d84
hex5f5afe0

99987424 has 48 divisors (see below), whose sum is σ = 211680000. Its totient is φ = 46341504.

The previous prime is 99987373. The next prime is 99987449. The reversal of 99987424 is 42478999.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 26827 + ... + 30325.

It is an arithmetic number, because the mean of its divisors is an integer number (4410000).

Almost surely, 299987424 is an apocalyptic number.

99987424 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99987424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105840000).

99987424 is an abundant number, since it is smaller than the sum of its proper divisors (111692576).

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

99987424 is a wasteful number, since it uses less digits than its factorization.

99987424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3575 (or 3567 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 52.

The square root of 99987424 is about 9999.3711802293. The cubic root of 99987424 is about 464.1394250052.

The spelling of 99987424 in words is "ninety-nine million, nine hundred eighty-seven thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 19 32 38 47 76 94 152 188 304 376 608 752 893 1504 1786 3499 3572 6998 7144 13996 14288 27992 28576 55984 66481 111968 132962 164453 265924 328906 531848 657812 1063696 1315624 2127392 2631248 3124607 5262496 6249214 12498428 24996856 49993712 99987424