Search a number
-
+
48923136 = 29333539
BaseRepresentation
bin1011101010100…
…0001000000000
310102001112221000
42322220020000
5100011020021
64504332000
71132561023
oct272501000
9112045830
1048923136
1125685749
1214474000
13a19c202
1466d71ba
154465b26
hex2ea8200

48923136 has 80 divisors (see below), whose sum is σ = 144856800. Its totient is φ = 16303104.

The previous prime is 48923131. The next prime is 48923137. The reversal of 48923136 is 63132984.

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

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 48923136.

It is not an unprimeable number, because it can be changed into a prime (48923131) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12055 + ... + 15593.

It is an arithmetic number, because the mean of its divisors is an integer number (1810710).

Almost surely, 248923136 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 48923136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72428400).

48923136 is an abundant number, since it is smaller than the sum of its proper divisors (95933664).

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

48923136 is an equidigital number, since it uses as much as digits as its factorization.

48923136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3566 (or 3544 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 48923136 is about 6994.5075595070. The cubic root of 48923136 is about 365.7391314965.

The spelling of 48923136 in words is "forty-eight million, nine hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 3539 4608 6912 7078 10617 13824 14156 21234 28312 31851 42468 56624 63702 84936 95553 113248 127404 169872 191106 226496 254808 339744 382212 452992 509616 679488 764424 905984 1019232 1358976 1528848 1811968 2038464 2717952 3057696 4076928 5435904 6115392 8153856 12230784 16307712 24461568 48923136