Search a number
-
+
48826128 = 243133463
BaseRepresentation
bin1011101001000…
…0011100010000
310101212121212010
42322100130100
544444414003
64502302520
71132005141
oct272203420
9111777763
1048826128
112561987a
1214427a40
13a167000
1466adac8
154447003
hex2e90710

48826128 has 80 divisors (see below), whose sum is σ = 136935680. Its totient is φ = 14990976.

The previous prime is 48826109. The next prime is 48826139. The reversal of 48826128 is 82162884.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105225 + ... + 105687.

It is an arithmetic number, because the mean of its divisors is an integer number (1711696).

Almost surely, 248826128 is an apocalyptic number.

48826128 is a gapful number since it is divisible by the number (48) 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 48826128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68467840).

48826128 is an abundant number, since it is smaller than the sum of its proper divisors (88109552).

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

48826128 is a wasteful number, since it uses less digits than its factorization.

48826128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 481 counting only the distinct ones).

The product of its digits is 49152, while the sum is 39.

The square root of 48826128 is about 6987.5695345377. The cubic root of 48826128 is about 365.4972343706.

The spelling of 48826128 in words is "forty-eight million, eight hundred twenty-six thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 169 208 312 338 463 507 624 676 926 1014 1352 1389 1852 2028 2197 2704 2778 3704 4056 4394 5556 6019 6591 7408 8112 8788 11112 12038 13182 17576 18057 22224 24076 26364 35152 36114 48152 52728 72228 78247 96304 105456 144456 156494 234741 288912 312988 469482 625976 938964 1017211 1251952 1877928 2034422 3051633 3755856 4068844 6103266 8137688 12206532 16275376 24413064 48826128