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48912600 = 23352117411
BaseRepresentation
bin1011101010010…
…1100011011000
310102001000110210
42322211203120
5100010200400
64504211120
71132515222
oct272454330
9112030423
1048912600
1125678840
1214469aa0
13a197489
1466d3412
154462950
hex2ea58d8

48912600 has 96 divisors (see below), whose sum is σ = 165435840. Its totient is φ = 11856000.

The previous prime is 48912599. The next prime is 48912607. The reversal of 48912600 is 621984.

48912600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48912607) 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 23 ways as a sum of consecutive naturals, for example, 2895 + ... + 10305.

It is an arithmetic number, because the mean of its divisors is an integer number (1723290).

Almost surely, 248912600 is an apocalyptic number.

48912600 is a gapful number since it is divisible by the number (40) 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 48912600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82717920).

48912600 is an abundant number, since it is smaller than the sum of its proper divisors (116523240).

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

48912600 is a wasteful number, since it uses less digits than its factorization.

48912600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7441 (or 7432 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 48912600 is about 6993.7543565670. The cubic root of 48912600 is about 365.7128746342.

The spelling of 48912600 in words is "forty-eight million, nine hundred twelve thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 7411 14822 22233 29644 37055 44466 59288 74110 81521 88932 111165 148220 163042 177864 185275 222330 244563 296440 326084 370550 407605 444660 489126 555825 652168 741100 815210 889320 978252 1111650 1222815 1482200 1630420 1956504 2038025 2223300 2445630 3260840 4076050 4446600 4891260 6114075 8152100 9782520 12228150 16304200 24456300 48912600