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48545900 = 225213107349
BaseRepresentation
bin1011100100110…
…0000001101100
310101100101110022
42321030001230
544411432100
64452301312
71126430144
oct271140154
9111311408
1048545900
1125448287
1214311838
13a0995b0
146639924
1543dde85
hex2e4c06c

48545900 has 72 divisors (see below), whose sum is σ = 114836400. Its totient is φ = 17706240.

The previous prime is 48545899. The next prime is 48545909. The reversal of 48545900 is 954584.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (48545909) 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 23 ways as a sum of consecutive naturals, for example, 138926 + ... + 139274.

It is an arithmetic number, because the mean of its divisors is an integer number (1594950).

Almost surely, 248545900 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 48545900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57418200).

48545900 is an abundant number, since it is smaller than the sum of its proper divisors (66290500).

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

48545900 is a wasteful number, since it uses less digits than its factorization.

48545900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 35.

The square root of 48545900 is about 6967.4887872174. The cubic root of 48545900 is about 364.7966591177.

The spelling of 48545900 in words is "forty-eight million, five hundred forty-five thousand, nine hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 107 130 214 260 325 349 428 535 650 698 1070 1300 1391 1396 1745 2140 2675 2782 3490 4537 5350 5564 6955 6980 8725 9074 10700 13910 17450 18148 22685 27820 34775 34900 37343 45370 69550 74686 90740 113425 139100 149372 186715 226850 373430 453700 485459 746860 933575 970918 1867150 1941836 2427295 3734300 4854590 9709180 12136475 24272950 48545900