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48238320 = 24351315461
BaseRepresentation
bin1011100000000…
…0111011110000
310100202202112110
42320000323300
544322111240
64441525320
71124006334
oct270007360
9110682473
1048238320
1125258189
12141a3840
139cbc5b0
1465997c4
15437cc80
hex2e00ef0

48238320 has 80 divisors (see below), whose sum is σ = 161052192. Its totient is φ = 11873280.

The previous prime is 48238313. The next prime is 48238331. The reversal of 48238320 is 2383284.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4611 + ... + 10850.

Almost surely, 248238320 is an apocalyptic number.

48238320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

48238320 is an abundant number, since it is smaller than the sum of its proper divisors (112813872).

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

48238320 is a wasteful number, since it uses less digits than its factorization.

48238320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15490 (or 15484 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 48238320 is about 6945.3811990416. The cubic root of 48238320 is about 364.0245927916.

The spelling of 48238320 in words is "forty-eight million, two hundred thirty-eight thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 15461 30922 46383 61844 77305 92766 123688 154610 185532 200993 231915 247376 309220 371064 401986 463830 602979 618440 742128 803972 927660 1004965 1205958 1236880 1607944 1855320 2009930 2411916 3014895 3215888 3710640 4019860 4823832 6029790 8039720 9647664 12059580 16079440 24119160 48238320