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48860100 = 2232522332
BaseRepresentation
bin1011101001100…
…0101111000100
310101221100110100
42322120233010
5100002010400
64503124100
71132206162
oct272305704
9111840410
1048860100
1125642353
1214443630
13a179603
1466bc232
154452100
hex2e98bc4

48860100 has 81 divisors (see below), whose sum is σ = 153809383. Its totient is φ = 12973440.

The previous prime is 48860089. The next prime is 48860101. The reversal of 48860100 is 106884.

The square root of 48860100 is 6990.

It is a perfect power (a square), and thus also a powerful number.

48860100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9622404 + 39237696 = 3102^2 + 6264^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48860101) 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 26 ways as a sum of consecutive naturals, for example, 209584 + ... + 209816.

Almost surely, 248860100 is an apocalyptic number.

48860100 is the 6990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48860100

48860100 is an abundant number, since it is smaller than the sum of its proper divisors (104949283).

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

48860100 is a wasteful number, since it uses less digits than its factorization.

48860100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The cubic root of 48860100 is about 365.5819826664.

Adding to 48860100 its reverse (106884), we get a palindrome (48966984).

The spelling of 48860100 in words is "forty-eight million, eight hundred sixty thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 233 300 450 466 699 900 932 1165 1398 2097 2330 2796 3495 4194 4660 5825 6990 8388 10485 11650 13980 17475 20970 23300 34950 41940 52425 54289 69900 104850 108578 162867 209700 217156 271445 325734 488601 542890 651468 814335 977202 1085780 1357225 1628670 1954404 2443005 2714450 3257340 4071675 4886010 5428900 8143350 9772020 12215025 16286700 24430050 48860100