Search a number
-
+
53449632 = 2534171213
BaseRepresentation
bin1100101111100…
…1001110100000
310201120112010000
43023321032200
5102140342012
65145340000
71216212555
oct313711640
9121515100
1053449632
1128197555
1215a97600
13b0c5602
147154a2c
154a5bddc
hex32f93a0

53449632 has 120 divisors (see below), whose sum is σ = 166577796. Its totient is φ = 16754688.

The previous prime is 53449589. The next prime is 53449633. The reversal of 53449632 is 23694435.

53449632 is a `hidden beast` number, since 534 + 4 + 96 + 32 = 666.

53449632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 52359696 + 1089936 = 7236^2 + 1044^2 .

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 (53449633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 43458 + ... + 44670.

Almost surely, 253449632 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 53449632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83288898).

53449632 is an abundant number, since it is smaller than the sum of its proper divisors (113128164).

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

53449632 is a wasteful number, since it uses less digits than its factorization.

53449632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1252 (or 1235 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 53449632 is about 7310.9255228049. The cubic root of 53449632 is about 376.6878160086.

The spelling of 53449632 in words is "fifty-three million, four hundred forty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 81 96 102 108 136 144 153 162 204 216 272 288 306 324 408 432 459 544 612 648 816 864 918 1213 1224 1296 1377 1632 1836 2426 2448 2592 2754 3639 3672 4852 4896 5508 7278 7344 9704 10917 11016 14556 14688 19408 20621 21834 22032 29112 32751 38816 41242 43668 44064 58224 61863 65502 82484 87336 98253 116448 123726 131004 164968 174672 185589 196506 247452 262008 329936 349344 371178 393012 494904 524016 556767 659872 742356 786024 989808 1048032 1113534 1484712 1572048 1670301 1979616 2227068 2969424 3144096 3340602 4454136 5938848 6681204 8908272 13362408 17816544 26724816 53449632