Search a number
-
+
48041520 = 2435474259
BaseRepresentation
bin1011011101000…
…0111000110000
310100101202120120
42313100320300
544244312040
64433410240
71122226512
oct267207060
9110352516
1048041520
112513333a
1214109980
139c50b47
146547bb2
15433e7d0
hex2dd0e30

48041520 has 80 divisors (see below), whose sum is σ = 152133120. Its totient is φ = 12535552.

The previous prime is 48041501. The next prime is 48041531. The reversal of 48041520 is 2514084.

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 (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9151 + ... + 13409.

It is an arithmetic number, because the mean of its divisors is an integer number (1901664).

Almost surely, 248041520 is an apocalyptic number.

48041520 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 48041520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76066560).

48041520 is an abundant number, since it is smaller than the sum of its proper divisors (104091600).

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

48041520 is a wasteful number, since it uses less digits than its factorization.

48041520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4322 (or 4316 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 24.

The square root of 48041520 is about 6931.1990304708. The cubic root of 48041520 is about 363.5288756548.

The spelling of 48041520 in words is "forty-eight million, forty-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2256 2820 3760 4259 5640 8518 11280 12777 17036 21295 25554 34072 42590 51108 63885 68144 85180 102216 127770 170360 200173 204432 255540 340720 400346 511080 600519 800692 1000865 1022160 1201038 1601384 2001730 2402076 3002595 3202768 4003460 4804152 6005190 8006920 9608304 12010380 16013840 24020760 48041520