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48235840 = 265307491
BaseRepresentation
bin1011100000000…
…0010101000000
310100202122010121
42320000111000
544322021330
64441510024
71123666162
oct270002500
9110678117
1048235840
1125256334
12141a2314
139cbb423
146598932
15437c17a
hex2e00540

48235840 has 56 divisors (see below), whose sum is σ = 115470432. Its totient is φ = 19192320.

The previous prime is 48235829. The next prime is 48235841. The reversal of 48235840 is 4853284.

It is a junction number, because it is equal to n+sod(n) for n = 48235796 and 48235805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48235841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97995 + ... + 98485.

It is an arithmetic number, because the mean of its divisors is an integer number (2061972).

Almost surely, 248235840 is an apocalyptic number.

48235840 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 48235840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57735216).

48235840 is an abundant number, since it is smaller than the sum of its proper divisors (67234592).

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

48235840 is a wasteful number, since it uses less digits than its factorization.

48235840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The square root of 48235840 is about 6945.2026608300. The cubic root of 48235840 is about 364.0183543456.

The spelling of 48235840 in words is "forty-eight million, two hundred thirty-five thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 307 320 491 614 982 1228 1535 1964 2455 2456 3070 3928 4910 4912 6140 7856 9820 9824 12280 15712 19640 19648 24560 31424 39280 49120 78560 98240 150737 157120 301474 602948 753685 1205896 1507370 2411792 3014740 4823584 6029480 9647168 12058960 24117920 48235840