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48204828 = 2233729109
BaseRepresentation
bin1011011111100…
…0110000011100
310100201001121000
42313320300130
544320023303
64441110300
71123506600
oct267706034
9110631530
1048204828
1125235001
1214188390
139caa289
14658b500
154372da3
hex2df8c1c

48204828 has 72 divisors (see below), whose sum is σ = 145395600. Its totient is φ = 13771296.

The previous prime is 48204799. The next prime is 48204839. The reversal of 48204828 is 82840284.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 48204792 and 48204801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 738 + ... + 9846.

Almost surely, 248204828 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 48204828, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72697800).

48204828 is an abundant number, since it is smaller than the sum of its proper divisors (97190772).

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

48204828 is a wasteful number, since it uses less digits than its factorization.

48204828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9136 (or 9121 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 36.

The square root of 48204828 is about 6942.9696816276. The cubic root of 48204828 is about 363.9403255232.

The spelling of 48204828 in words is "forty-eight million, two hundred four thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 49 54 63 84 98 108 126 147 189 196 252 294 378 441 588 756 882 1323 1764 2646 5292 9109 18218 27327 36436 54654 63763 81981 109308 127526 163962 191289 245943 255052 327924 382578 446341 491886 573867 765156 892682 983772 1147734 1339023 1721601 1785364 2295468 2678046 3443202 4017069 5356092 6886404 8034138 12051207 16068276 24102414 48204828