Search a number
-
+
48705552 = 24327211229
BaseRepresentation
bin1011100111001…
…1000000010000
310101122111110100
42321303000100
544432034202
64455532400
71130663460
oct271630020
9111574410
1048705552
1125547225
121438a100
13a12416c
14667bba0
15442141c
hex2e73010

48705552 has 120 divisors (see below), whose sum is σ = 157202240. Its totient is φ = 13789440.

The previous prime is 48705551. The next prime is 48705563. The reversal of 48705552 is 25550784.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (48705551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212574 + ... + 212802.

Almost surely, 248705552 is an apocalyptic number.

48705552 is a gapful number since it is divisible by the number (42) 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 48705552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78601120).

48705552 is an abundant number, since it is smaller than the sum of its proper divisors (108496688).

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

48705552 is a wasteful number, since it uses less digits than its factorization.

48705552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The square root of 48705552 is about 6978.9363086362. The cubic root of 48705552 is about 365.1961215356.

It can be divided in two parts, 48 and 705552, that added together give a square (705600 = 8402).

The spelling of 48705552 in words is "forty-eight million, seven hundred five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 211 229 252 336 422 458 504 633 687 844 916 1008 1266 1374 1477 1603 1688 1832 1899 2061 2532 2748 2954 3206 3376 3664 3798 4122 4431 4809 5064 5496 5908 6412 7596 8244 8862 9618 10128 10992 11816 12824 13293 14427 15192 16488 17724 19236 23632 25648 26586 28854 30384 32976 35448 38472 48319 53172 57708 70896 76944 96638 106344 115416 144957 193276 212688 230832 289914 338233 386552 434871 579828 676466 773104 869742 1014699 1159656 1352932 1739484 2029398 2319312 2705864 3044097 3478968 4058796 5411728 6088194 6957936 8117592 12176388 16235184 24352776 48705552