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99490048 = 28759941
BaseRepresentation
bin1011110111000…
…01100100000000
320221012121200121
411323201210000
5200432140143
613512230024
72315436310
oct573414400
9227177617
1099490048
1151183389
122939b314
13177c5668
14d2db440
158b037ed
hex5ee1900

99490048 has 72 divisors (see below), whose sum is σ = 231053760. Its totient is φ = 41871360.

The previous prime is 99490033. The next prime is 99490049. The reversal of 99490048 is 84009499.

It is a junction number, because it is equal to n+sod(n) for n = 99489986 and 99490013.

It is not an unprimeable number, because it can be changed into a prime (99490049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105258 + ... + 106198.

It is an arithmetic number, because the mean of its divisors is an integer number (3209080).

Almost surely, 299490048 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 99490048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115526880).

99490048 is an abundant number, since it is smaller than the sum of its proper divisors (131563712).

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

99490048 is an equidigital number, since it uses as much as digits as its factorization.

99490048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1023 (or 1009 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The square root of 99490048 is about 9974.4698104711. The cubic root of 99490048 is about 463.3685425457.

The spelling of 99490048 in words is "ninety-nine million, four hundred ninety thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 59 64 112 118 128 224 236 256 413 448 472 826 896 941 944 1652 1792 1882 1888 3304 3764 3776 6587 6608 7528 7552 13174 13216 15056 15104 26348 26432 30112 52696 52864 55519 60224 105392 105728 111038 120448 210784 222076 240896 388633 421568 444152 777266 843136 888304 1554532 1686272 1776608 3109064 3553216 6218128 7106432 12436256 14212864 24872512 49745024 99490048