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48969480 = 2335797601
BaseRepresentation
bin1011101011001…
…1011100001000
310102010220111110
42322303130020
5100014010410
64505330320
71133143110
oct272633410
9112126443
1048969480
112570754a
12144969a0
13a1b7331
14670a040
154474720
hex2eb3708

48969480 has 128 divisors (see below), whose sum is σ = 169908480. Its totient is φ = 11059200.

The previous prime is 48969421. The next prime is 48969497. The reversal of 48969480 is 8496984.

48969480 = T64 + T65 + ... + T664.

48969480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81180 + ... + 81780.

It is an arithmetic number, because the mean of its divisors is an integer number (1327410).

Almost surely, 248969480 is an apocalyptic number.

48969480 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 48969480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84954240).

48969480 is an abundant number, since it is smaller than the sum of its proper divisors (120939000).

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

48969480 is a wasteful number, since it uses less digits than its factorization.

48969480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 48.

The square root of 48969480 is about 6997.8196604371. The cubic root of 48969480 is about 365.8545810665.

It can be divided in two parts, 48 and 969480, that added together give a triangular number (969528 = T1392).

The spelling of 48969480 in words is "forty-eight million, nine hundred sixty-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 97 105 120 140 168 194 210 280 291 388 420 485 582 601 679 776 840 970 1164 1202 1358 1455 1803 1940 2037 2328 2404 2716 2910 3005 3395 3606 3880 4074 4207 4808 5432 5820 6010 6790 7212 8148 8414 9015 10185 11640 12020 12621 13580 14424 16296 16828 18030 20370 21035 24040 25242 27160 33656 36060 40740 42070 50484 58297 63105 72120 81480 84140 100968 116594 126210 168280 174891 233188 252420 291485 349782 408079 466376 504840 582970 699564 816158 874455 1165940 1224237 1399128 1632316 1748910 2040395 2331880 2448474 3264632 3497820 4080790 4896948 6121185 6995640 8161580 9793896 12242370 16323160 24484740 48969480