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48064200 = 2335280107
BaseRepresentation
bin1011011101011…
…0011011001000
310100102220200120
42313112123020
544301023300
64434103240
71122352602
oct267263310
9110386616
1048064200
1125149388
121411ab20
139c5b272
146552172
1543463a0
hex2dd66c8

48064200 has 48 divisors (see below), whose sum is σ = 149000880. Its totient is φ = 12816960.

The previous prime is 48064199. The next prime is 48064217. The reversal of 48064200 is 246084.

It is a super-3 number, since 3×480642003 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39454 + ... + 40653.

It is an arithmetic number, because the mean of its divisors is an integer number (3104185).

Almost surely, 248064200 is an apocalyptic number.

48064200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48064200 is an abundant number, since it is smaller than the sum of its proper divisors (100936680).

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

48064200 is a wasteful number, since it uses less digits than its factorization.

48064200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80126 (or 80117 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 48064200 is about 6932.8349179827. The cubic root of 48064200 is about 363.5860729694.

The spelling of 48064200 in words is "forty-eight million, sixty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 80107 160214 240321 320428 400535 480642 640856 801070 961284 1201605 1602140 1922568 2002675 2403210 3204280 4005350 4806420 6008025 8010700 9612840 12016050 16021400 24032100 48064200