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48826368 = 21133883
BaseRepresentation
bin1011101001000…
…0100000000000
310101212122012000
42322100200000
544444420433
64502304000
71132005633
oct272204000
9111778160
1048826368
1125619a78
1214428000
13a167156
1466adc1a
154447113
hex2e90800

48826368 has 96 divisors (see below), whose sum is σ = 144799200. Its totient is φ = 16257024.

The previous prime is 48826361. The next prime is 48826369. The reversal of 48826368 is 86362884.

It is a happy number.

48826368 is a `hidden beast` number, since 4 + 8 + 8 + 2 + 636 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (48826361) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54855 + ... + 55737.

It is an arithmetic number, because the mean of its divisors is an integer number (1508325).

Almost surely, 248826368 is an apocalyptic number.

48826368 is a gapful number since it is divisible by the number (48) 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 48826368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72399600).

48826368 is an abundant number, since it is smaller than the sum of its proper divisors (95972832).

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

48826368 is an equidigital number, since it uses as much as digits as its factorization.

48826368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 914 (or 888 counting only the distinct ones).

The product of its digits is 442368, while the sum is 45.

The square root of 48826368 is about 6987.5867078699. The cubic root of 48826368 is about 365.4978332247.

It can be divided in two parts, 48826 and 368, that added together give a palindrome (49194).

The spelling of 48826368 in words is "forty-eight million, eight hundred twenty-six thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 883 1024 1152 1536 1728 1766 2048 2304 2649 3072 3456 3532 4608 5298 6144 6912 7064 7947 9216 10596 13824 14128 15894 18432 21192 23841 27648 28256 31788 42384 47682 55296 56512 63576 84768 95364 113024 127152 169536 190728 226048 254304 339072 381456 452096 508608 678144 762912 904192 1017216 1356288 1525824 1808384 2034432 2712576 3051648 4068864 5425152 6103296 8137728 12206592 16275456 24413184 48826368