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48609800 = 2352172292
BaseRepresentation
bin1011100101101…
…1101000001000
310101110122002222
42321123220020
544421003200
64453513212
71130114351
oct271335010
9111418088
1048609800
1125491298
1214342808
13a0bc6c5
146654d28
154402d85
hex2e5ba08

48609800 has 108 divisors (see below), whose sum is σ = 124339605. Its totient is φ = 17669120.

The previous prime is 48609761. The next prime is 48609811. The reversal of 48609800 is 890684.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 1522756 + 47087044 = 1234^2 + 6862^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=4930.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1676186 + ... + 1676214.

Almost surely, 248609800 is an apocalyptic number.

48609800 is a gapful number since it is divisible by the number (40) 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 48609800

48609800 is an abundant number, since it is smaller than the sum of its proper divisors (75729805).

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

48609800 is a wasteful number, since it uses less digits than its factorization.

48609800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 35.

The square root of 48609800 is about 6972.0728624994. The cubic root of 48609800 is about 364.9566471309.

The spelling of 48609800 in words is "forty-eight million, six hundred nine thousand, eight hundred".

Divisors: 1 2 4 5 8 10 17 20 25 29 34 40 50 58 68 85 100 116 136 145 170 200 232 289 290 340 425 493 578 580 680 725 841 850 986 1156 1160 1445 1450 1682 1700 1972 2312 2465 2890 2900 3364 3400 3944 4205 4930 5780 5800 6728 7225 8381 8410 9860 11560 12325 14297 14450 16762 16820 19720 21025 24650 28594 28900 33524 33640 41905 42050 49300 57188 57800 67048 71485 83810 84100 98600 114376 142970 167620 168200 209525 243049 285940 335240 357425 419050 486098 571880 714850 838100 972196 1215245 1429700 1676200 1944392 2430490 2859400 4860980 6076225 9721960 12152450 24304900 48609800