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55412984 = 2311531092
BaseRepresentation
bin1101001101100…
…0100011111000
310212021021022202
43103120203320
5103141203414
65255405332
71242000614
oct323304370
9125237282
1055412984
1129308660
1216683848
13b632163
147506344
154ce89de
hex34d88f8

55412984 has 48 divisors (see below), whose sum is σ = 116552520. Its totient is φ = 24485760.

The previous prime is 55412971. The next prime is 55412989. The reversal of 55412984 is 48921455.

55412984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (57600) is a multiple of the sum of its prime factors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55412989) 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, 508322 + ... + 508430.

Almost surely, 255412984 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 55412984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58276260).

55412984 is an abundant number, since it is smaller than the sum of its proper divisors (61139536).

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

55412984 is a wasteful number, since it uses less digits than its factorization.

55412984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288 (or 175 counting only the distinct ones).

The product of its digits is 57600, while the sum is 38.

The square root of 55412984 is about 7443.9897904282. The cubic root of 55412984 is about 381.2447271868.

The spelling of 55412984 in words is "fifty-five million, four hundred twelve thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 22 44 53 88 106 109 212 218 424 436 583 872 1166 1199 2332 2398 4664 4796 5777 9592 11554 11881 23108 23762 46216 47524 63547 95048 127094 130691 254188 261382 508376 522764 629693 1045528 1259386 2518772 5037544 6926623 13853246 27706492 55412984