Search a number
-
+
55944432 = 243514389
BaseRepresentation
bin1101010101101…
…0010011110000
310220021021100000
43111122103300
5103310210212
65315030000
71246343205
oct325322360
9126237300
1055944432
1129640975
121689b300
13b78a01b
147603cac
154da11dc
hex355a4f0

55944432 has 60 divisors (see below), whose sum is σ = 162376760. Its totient is φ = 18646848.

The previous prime is 55944431. The next prime is 55944437. The reversal of 55944432 is 23444955.

It is a happy number.

55944432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55944431) 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 11 ways as a sum of consecutive naturals, for example, 3307 + ... + 11082.

Almost surely, 255944432 is an apocalyptic number.

It is an amenable number.

55944432 is an abundant number, since it is smaller than the sum of its proper divisors (106432328).

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

55944432 is a wasteful number, since it uses less digits than its factorization.

55944432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14412 (or 14394 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 55944432 is about 7479.6010588801. The cubic root of 55944432 is about 382.4596497228.

The spelling of 55944432 in words is "fifty-five million, nine hundred forty-four thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 972 1296 1944 3888 14389 28778 43167 57556 86334 115112 129501 172668 230224 259002 345336 388503 518004 690672 777006 1036008 1165509 1554012 2072016 2331018 3108024 3496527 4662036 6216048 6993054 9324072 13986108 18648144 27972216 55944432