[go: up one dir, main page]

Search a number
-
+
48691080 = 23325314363
BaseRepresentation
bin1011100110111…
…1011110001000
310101121202121100
42321233132020
544431103310
64455341400
71130603334
oct271573610
9111552540
1048691080
1125537369
1214381860
13a11a6b9
1466767c4
15441bec0
hex2e6f788

48691080 has 96 divisors (see below), whose sum is σ = 163388160. Its totient is φ = 12562560.

The previous prime is 48691079. The next prime is 48691081. The reversal of 48691080 is 8019684.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48691079) and next prime (48691081).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (48691081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8979 + ... + 13341.

It is an arithmetic number, because the mean of its divisors is an integer number (1701960).

Almost surely, 248691080 is an apocalyptic number.

48691080 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 48691080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81694080).

48691080 is an abundant number, since it is smaller than the sum of its proper divisors (114697080).

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

48691080 is a wasteful number, since it uses less digits than its factorization.

48691080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4411 (or 4404 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 48691080 is about 6977.8993973831. The cubic root of 48691080 is about 365.1599474131.

The spelling of 48691080 in words is "forty-eight million, six hundred ninety-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 4363 5580 8726 11160 13089 17452 21815 26178 34904 39267 43630 52356 65445 78534 87260 104712 130890 135253 157068 174520 196335 261780 270506 314136 392670 405759 523560 541012 676265 785340 811518 1082024 1217277 1352530 1570680 1623036 2028795 2434554 2705060 3246072 4057590 4869108 5410120 6086385 8115180 9738216 12172770 16230360 24345540 48691080