Search a number
-
+
55290984 = 2337397829
BaseRepresentation
bin1101001011101…
…0110001101000
310212001001222020
43102322301220
5103123302414
65253024440
71240652130
oct322726150
9125031866
1055290984
1129234a31
1216625120
13b5bb778
1474b3ac0
154cc27a9
hex34bac68

55290984 has 64 divisors (see below), whose sum is σ = 158563200. Its totient is φ = 15738624.

The previous prime is 55290979. The next prime is 55291043. The reversal of 55290984 is 48909255.

55290984 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 (42).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 66282 + ... + 67110.

It is an arithmetic number, because the mean of its divisors is an integer number (2477550).

Almost surely, 255290984 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 55290984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79281600).

55290984 is an abundant number, since it is smaller than the sum of its proper divisors (103272216).

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

55290984 is a wasteful number, since it uses less digits than its factorization.

55290984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1242 (or 1238 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

The square root of 55290984 is about 7435.7907447695. The cubic root of 55290984 is about 380.9647324428.

The spelling of 55290984 in words is "fifty-five million, two hundred ninety thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 397 794 829 1191 1588 1658 2382 2487 2779 3176 3316 4764 4974 5558 5803 6632 8337 9528 9948 11116 11606 16674 17409 19896 22232 23212 33348 34818 46424 66696 69636 139272 329113 658226 987339 1316452 1974678 2303791 2632904 3949356 4607582 6911373 7898712 9215164 13822746 18430328 27645492 55290984