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48958640 = 2451735999
BaseRepresentation
bin1011101011000…
…0110010110000
310102010100121222
42322300302300
5100013134030
64505204212
71133066363
oct272606260
9112110558
1048958640
11256aa395
1214490668
13a1b2413
1467060da
1544713e5
hex2eb0cb0

48958640 has 40 divisors (see below), whose sum is σ = 120528000. Its totient is φ = 18430976.

The previous prime is 48958607. The next prime is 48958667. The reversal of 48958640 is 4685984.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 48958591 and 48958600.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16640 + ... + 19359.

It is an arithmetic number, because the mean of its divisors is an integer number (3013200).

Almost surely, 248958640 is an apocalyptic number.

48958640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48958640 is an abundant number, since it is smaller than the sum of its proper divisors (71569360).

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

48958640 is a wasteful number, since it uses less digits than its factorization.

48958640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36029 (or 36023 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 44.

The square root of 48958640 is about 6997.0450906079. The cubic root of 48958640 is about 365.8275835957.

The spelling of 48958640 in words is "forty-eight million, nine hundred fifty-eight thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 35999 71998 143996 179995 287992 359990 575984 611983 719980 1223966 1439960 2447932 2879920 3059915 4895864 6119830 9791728 12239660 24479320 48958640