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99978048 = 2632173573
BaseRepresentation
bin1011111010110…
…00101101000000
320222010102002200
411331120231000
5201043244143
613530513200
72322541122
oct575305500
9228112080
1099978048
1151486a95
1229595800
1317936811
14d3c7212
158b9d1d3
hex5f58b40

99978048 has 42 divisors (see below), whose sum is σ = 286570674. Its totient is φ = 33325824.

The previous prime is 99978041. The next prime is 99978059. The reversal of 99978048 is 84087999.

It can be written as a sum of positive squares in only one way, i.e., 52533504 + 47444544 = 7248^2 + 6888^2 .

It is a super-2 number, since 2×999780482 = 19991220163780608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 99977985 and 99978003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (99978041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 86211 + ... + 87362.

Almost surely, 299978048 is an apocalyptic number.

It is an amenable number.

99978048 is an abundant number, since it is smaller than the sum of its proper divisors (186592626).

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

99978048 is a wasteful number, since it uses less digits than its factorization.

99978048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173591 (or 173578 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The square root of 99978048 is about 9998.9023397571. The cubic root of 99978048 is about 464.1249168230.

The spelling of 99978048 in words is "ninety-nine million, nine hundred seventy-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 173573 347146 520719 694292 1041438 1388584 1562157 2082876 2777168 3124314 4165752 5554336 6248628 8331504 11108672 12497256 16663008 24994512 33326016 49989024 99978048