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48989100 = 22352612677
BaseRepresentation
bin1011101011100…
…0001110101100
310102011220102010
42322320032230
5100020122400
64510001220
71133254236
oct272701654
9112156363
1048989100
1125720266
12144a6210
13a1c3244
146713256
15447a450
hex2eb83ac

48989100 has 72 divisors (see below), whose sum is σ = 144119248. Its totient is φ = 12844800.

The previous prime is 48989099. The next prime is 48989123. The reversal of 48989100 is 198984.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 16962 + ... + 19638.

Almost surely, 248989100 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 48989100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72059624).

48989100 is an abundant number, since it is smaller than the sum of its proper divisors (95130148).

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

48989100 is a wasteful number, since it uses less digits than its factorization.

48989100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2755 (or 2748 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 39.

The square root of 48989100 is about 6999.2213852685. The cubic root of 48989100 is about 365.9034353627.

The spelling of 48989100 in words is "forty-eight million, nine hundred eighty-nine thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 366 610 732 915 1220 1525 1830 2677 3050 3660 4575 5354 6100 8031 9150 10708 13385 16062 18300 26770 32124 40155 53540 66925 80310 133850 160620 163297 200775 267700 326594 401550 489891 653188 803100 816485 979782 1632970 1959564 2449455 3265940 4082425 4898910 8164850 9797820 12247275 16329700 24494550 48989100