Search a number
-
+
48060240 = 2435434657
BaseRepresentation
bin1011011101010…
…1011101010000
310100102201020220
42313111131100
544300411430
64434033040
71122335214
oct267253520
9110381226
1048060240
1125146408
1214118780
139c59517
146550944
154345110
hex2dd5750

48060240 has 80 divisors (see below), whose sum is σ = 152484288. Its totient is φ = 12515328.

The previous prime is 48060217. The next prime is 48060269. The reversal of 48060240 is 4206084.

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

It is a super-3 number, since 3×480602403 (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 48060240.

It is a congruent number.

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, 7992 + ... + 12648.

Almost surely, 248060240 is an apocalyptic number.

48060240 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 48060240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76242144).

48060240 is an abundant number, since it is smaller than the sum of its proper divisors (104424048).

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

48060240 is a wasteful number, since it uses less digits than its factorization.

48060240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4716 (or 4710 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 48060240 is about 6932.5493146461. The cubic root of 48060240 is about 363.5760874334.

The spelling of 48060240 in words is "forty-eight million, sixty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 344 430 516 645 688 860 1032 1290 1720 2064 2580 3440 4657 5160 9314 10320 13971 18628 23285 27942 37256 46570 55884 69855 74512 93140 111768 139710 186280 200251 223536 279420 372560 400502 558840 600753 801004 1001255 1117680 1201506 1602008 2002510 2403012 3003765 3204016 4005020 4806024 6007530 8010040 9612048 12015060 16020080 24030120 48060240