Search a number
-
+
48950304 = 2531361643
BaseRepresentation
bin1011101010111…
…0110000100000
310102002221012020
42322232300200
5100012402204
64505101440
71133033154
oct272566040
9112087166
1048950304
11256a40a7
1214487880
13a1ab6a0
146703064
15446dbd9
hex2eaec20

48950304 has 96 divisors (see below), whose sum is σ = 140865984. Its totient is φ = 14791680.

The previous prime is 48950303. The next prime is 48950339. The reversal of 48950304 is 40305984.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×489503042 = 4792264523384832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48950303) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75807 + ... + 76449.

It is an arithmetic number, because the mean of its divisors is an integer number (1467354).

Almost surely, 248950304 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 48950304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70432992).

48950304 is an abundant number, since it is smaller than the sum of its proper divisors (91915680).

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

48950304 is a wasteful number, since it uses less digits than its factorization.

48950304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 730 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The square root of 48950304 is about 6996.4493852239. The cubic root of 48950304 is about 365.8068197303.

The spelling of 48950304 in words is "forty-eight million, nine hundred fifty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 61 78 96 104 122 156 183 208 244 312 366 416 488 624 643 732 793 976 1248 1286 1464 1586 1929 1952 2379 2572 2928 3172 3858 4758 5144 5856 6344 7716 8359 9516 10288 12688 15432 16718 19032 20576 25077 25376 30864 33436 38064 39223 50154 61728 66872 76128 78446 100308 117669 133744 156892 200616 235338 267488 313784 401232 470676 509899 627568 802464 941352 1019798 1255136 1529697 1882704 2039596 3059394 3765408 4079192 6118788 8158384 12237576 16316768 24475152 48950304