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99000048 = 2437476269
BaseRepresentation
bin1011110011010…
…01111011110000
320220021201112110
411321221323300
5200321000143
613453525320
72311325610
oct571517360
9226251473
1099000048
1150979224
12291a3840
1317683614
14d210a40
158a58533
hex5e69ef0

99000048 has 80 divisors (see below), whose sum is σ = 298552320. Its totient is φ = 27679488.

The previous prime is 99000047. The next prime is 99000059. The reversal of 99000048 is 84000099.

It is a junction number, because it is equal to n+sod(n) for n = 98999979 and 99000024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99000047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12658 + ... + 18926.

It is an arithmetic number, because the mean of its divisors is an integer number (3731904).

Almost surely, 299000048 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 99000048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149276160).

99000048 is an abundant number, since it is smaller than the sum of its proper divisors (199552272).

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

99000048 is a wasteful number, since it uses less digits than its factorization.

99000048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6334 (or 6328 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 99000048 is about 9949.8767831567. The cubic root of 99000048 is about 462.6065756829.

The spelling of 99000048 in words is "ninety-nine million, forty-eight", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 47 48 56 84 94 112 141 168 188 282 329 336 376 564 658 752 987 1128 1316 1974 2256 2632 3948 5264 6269 7896 12538 15792 18807 25076 37614 43883 50152 75228 87766 100304 131649 150456 175532 263298 294643 300912 351064 526596 589286 702128 883929 1053192 1178572 1767858 2062501 2106384 2357144 3535716 4125002 4714288 6187503 7071432 8250004 12375006 14142864 16500008 24750012 33000016 49500024 99000048