[go: up one dir, main page]

Search a number
-
+
48150024 = 23313374397
BaseRepresentation
bin1011011110101…
…1011000001000
310100121021102020
42313223120020
544311300044
64440004440
71123161036
oct267533010
9110537366
1048150024
11251a790a
1214160720
139c8b350
146575556
154361a19
hex2deb608

48150024 has 128 divisors (see below), whose sum is σ = 137639040. Its totient is φ = 13934592.

The previous prime is 48150013. The next prime is 48150041. The reversal of 48150024 is 42005184.

48150024 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×481500242 = 4636849622401152, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 48149976 and 48150003.

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, 496344 + ... + 496440.

It is an arithmetic number, because the mean of its divisors is an integer number (1075305).

Almost surely, 248150024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48150024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68819520).

48150024 is an abundant number, since it is smaller than the sum of its proper divisors (89489016).

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

48150024 is a wasteful number, since it uses less digits than its factorization.

48150024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 199 (or 195 counting only the distinct ones).

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

The square root of 48150024 is about 6939.0218330828. The cubic root of 48150024 is about 363.8023521442.

It can be divided in two parts, 481 and 50024, that added together give a palindrome (50505).

The spelling of 48150024 in words is "forty-eight million, one hundred fifty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 43 52 74 78 86 97 104 111 129 148 156 172 194 222 258 291 296 312 344 388 444 481 516 559 582 776 888 962 1032 1118 1164 1261 1443 1591 1677 1924 2236 2328 2522 2886 3182 3354 3589 3783 3848 4171 4472 4773 5044 5772 6364 6708 7178 7566 8342 9546 10088 10767 11544 12513 12728 13416 14356 15132 16684 19092 20683 21534 25026 28712 30264 33368 38184 41366 43068 46657 50052 54223 62049 82732 86136 93314 100104 108446 124098 139971 154327 162669 165464 186628 216892 248196 279942 308654 325338 373256 433784 462981 496392 559884 617308 650676 925962 1119768 1234616 1301352 1851924 2006251 3703848 4012502 6018753 8025004 12037506 16050008 24075012 48150024