Search a number
-
+
49048384 = 2671137269
BaseRepresentation
bin1011101100011…
…0101101000000
310102021220201211
42323012231000
5100024022014
64511135504
71133622130
oct273065500
9112256654
1049048384
1125760860
1214514594
13a214218
14672aac0
15448ccc4
hex2ec6b40

49048384 has 112 divisors (see below), whose sum is σ = 125089920. Its totient is φ = 18524160.

The previous prime is 49048379. The next prime is 49048387. The reversal of 49048384 is 48384094.

It is a tau number, because it is divible by the number of its divisors (112).

It is a super-2 number, since 2×490483842 = 4811487946022912, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49048387) 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, 182202 + ... + 182470.

Almost surely, 249048384 is an apocalyptic number.

49048384 is a gapful number since it is divisible by the number (44) 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 49048384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62544960).

49048384 is an abundant number, since it is smaller than the sum of its proper divisors (76041536).

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

49048384 is a wasteful number, since it uses less digits than its factorization.

49048384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 326 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The square root of 49048384 is about 7003.4551472827. The cubic root of 49048384 is about 366.0509748146.

The spelling of 49048384 in words is "forty-nine million, forty-eight thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 37 44 56 64 74 77 88 112 148 154 176 224 259 269 296 308 352 407 448 518 538 592 616 704 814 1036 1076 1184 1232 1628 1883 2072 2152 2368 2464 2849 2959 3256 3766 4144 4304 4928 5698 5918 6512 7532 8288 8608 9953 11396 11836 13024 15064 16576 17216 19906 20713 22792 23672 26048 30128 39812 41426 45584 47344 60256 69671 79624 82852 91168 94688 109483 120512 139342 159248 165704 182336 189376 218966 278684 318496 331408 437932 557368 636992 662816 766381 875864 1114736 1325632 1532762 1751728 2229472 3065524 3503456 4458944 6131048 7006912 12262096 24524192 49048384