Search a number
-
+
55514304 = 2632313109
BaseRepresentation
bin1101001111000…
…1010011000000
310212110102022100
43103301103000
5103202424204
65301510400
71242602166
oct323612300
9125412270
1055514304
112937779a
1216712400
13b669301
147531236
154d18a39
hex34f14c0

55514304 has 84 divisors (see below), whose sum is σ = 164307520. Its totient is φ = 17902080.

The previous prime is 55514281. The next prime is 55514309. The reversal of 55514304 is 40341555.

It is not an unprimeable number, because it can be changed into a prime (55514309) 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, 16302 + ... + 19410.

Almost surely, 255514304 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 55514304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82153760).

55514304 is an abundant number, since it is smaller than the sum of its proper divisors (108793216).

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

55514304 is a wasteful number, since it uses less digits than its factorization.

55514304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3158 (or 3145 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 55514304 is about 7450.7921726485. The cubic root of 55514304 is about 381.4769483131.

Adding to 55514304 its reverse (40341555), we get a palindrome (95855859).

The spelling of 55514304 in words is "fifty-five million, five hundred fourteen thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 64 72 93 96 124 144 186 192 248 279 288 372 496 558 576 744 992 1116 1488 1984 2232 2976 3109 4464 5952 6218 8928 9327 12436 17856 18654 24872 27981 37308 49744 55962 74616 96379 99488 111924 149232 192758 198976 223848 289137 298464 385516 447696 578274 596928 771032 867411 895392 1156548 1542064 1734822 1790784 2313096 3084128 3469644 4626192 6168256 6939288 9252384 13878576 18504768 27757152 55514304