Search a number
-
+
48055104 = 2632194391
BaseRepresentation
bin1011011101010…
…0001101000000
310100102110012200
42313110031000
544300230404
64433553200
71122314226
oct267241500
9110373180
1048055104
1125142569
1214115800
139c57096
14654cb16
154343839
hex2dd4340

48055104 has 84 divisors (see below), whose sum is σ = 145023840. Its totient is φ = 15171840.

The previous prime is 48055099. The next prime is 48055109. The reversal of 48055104 is 40155084.

It is an interprime number because it is at equal distance from previous prime (48055099) and next prime (48055109).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48055109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8749 + ... + 13139.

Almost surely, 248055104 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 48055104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72511920).

48055104 is an abundant number, since it is smaller than the sum of its proper divisors (96968736).

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

48055104 is a wasteful number, since it uses less digits than its factorization.

48055104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4428 (or 4415 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 48055104 is about 6932.1788782460. The cubic root of 48055104 is about 363.5631356788.

The spelling of 48055104 in words is "forty-eight million, fifty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 48 57 64 72 76 96 114 144 152 171 192 228 288 304 342 456 576 608 684 912 1216 1368 1824 2736 3648 4391 5472 8782 10944 13173 17564 26346 35128 39519 52692 70256 79038 83429 105384 140512 158076 166858 210768 250287 281024 316152 333716 421536 500574 632304 667432 750861 843072 1001148 1264608 1334864 1501722 2002296 2529216 2669728 3003444 4004592 5339456 6006888 8009184 12013776 16018368 24027552 48055104