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48125100 = 22352198443
BaseRepresentation
bin1011011110010…
…1010010101100
310100120000020010
42313211102230
544310000400
64435253220
71123025262
oct267452254
9110500203
1048125100
1125190111
121414a210
139c7cbba
14656a432
154359450
hex2de54ac

48125100 has 72 divisors (see below), whose sum is σ = 146587840. Its totient is φ = 12156480.

The previous prime is 48125093. The next prime is 48125111. The reversal of 48125100 is 152184.

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, 1479 + ... + 9921.

Almost surely, 248125100 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 48125100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73293920).

48125100 is an abundant number, since it is smaller than the sum of its proper divisors (98462740).

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

48125100 is a wasteful number, since it uses less digits than its factorization.

48125100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8479 (or 8472 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 48125100 is about 6937.2256702518. The cubic root of 48125100 is about 363.7395693801.

Adding to 48125100 its reverse (152184), we get a palindrome (48277284).

The spelling of 48125100 in words is "forty-eight million, one hundred twenty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 285 300 380 475 570 950 1140 1425 1900 2850 5700 8443 16886 25329 33772 42215 50658 84430 101316 126645 160417 168860 211075 253290 320834 422150 481251 506580 633225 641668 802085 844300 962502 1266450 1604170 1925004 2406255 2532900 3208340 4010425 4812510 8020850 9625020 12031275 16041700 24062550 48125100