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55412320 = 255418447
BaseRepresentation
bin1101001101100…
…0011001100000
310212021020102011
43103120121200
5103141143240
65255402304
71241665645
oct323303140
9125236364
1055412320
1129308107
1216683394
13b631a72
147505dcc
154ce86ea
hex34d8660

55412320 has 48 divisors (see below), whose sum is σ = 134120448. Its totient is φ = 21621760.

The previous prime is 55412311. The next prime is 55412323. The reversal of 55412320 is 2321455.

It is a junction number, because it is equal to n+sod(n) for n = 55412291 and 55412300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55412323) 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 7 ways as a sum of consecutive naturals, for example, 2337 + ... + 10783.

It is an arithmetic number, because the mean of its divisors is an integer number (2794176).

Almost surely, 255412320 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 55412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67060224).

55412320 is an abundant number, since it is smaller than the sum of its proper divisors (78708128).

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

55412320 is a wasteful number, since it uses less digits than its factorization.

55412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8503 (or 8495 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 55412320 is about 7443.9451905559. The cubic root of 55412320 is about 381.2432043938.

Adding to 55412320 its reverse (2321455), we get a palindrome (57733775).

The spelling of 55412320 in words is "fifty-five million, four hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 160 164 205 328 410 656 820 1312 1640 3280 6560 8447 16894 33788 42235 67576 84470 135152 168940 270304 337880 346327 675760 692654 1351520 1385308 1731635 2770616 3463270 5541232 6926540 11082464 13853080 27706160 55412320