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55293104 = 2423971549
BaseRepresentation
bin1101001011101…
…1010010110000
310212001011212202
43102323102300
5103123334404
65253042332
71240661246
oct322732260
9125034782
1055293104
1129236589
12166263a8
13b5bc719
1474b4796
154cc321e
hex34bb4b0

55293104 has 40 divisors (see below), whose sum is σ = 113013600. Its totient is φ = 26155008.

The previous prime is 55293101. The next prime is 55293107. The reversal of 55293104 is 40139255.

55293104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (55293101) and next prime (55293107).

It is not an unprimeable number, because it can be changed into a prime (55293101) 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 7 ways as a sum of consecutive naturals, for example, 34922 + ... + 36470.

It is an arithmetic number, because the mean of its divisors is an integer number (2825340).

Almost surely, 255293104 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 55293104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56506800).

55293104 is an abundant number, since it is smaller than the sum of its proper divisors (57720496).

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

55293104 is a wasteful number, since it uses less digits than its factorization.

55293104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1677 (or 1671 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 55293104 is about 7435.9332971726. The cubic root of 55293104 is about 380.9696014398.

The spelling of 55293104 in words is "fifty-five million, two hundred ninety-three thousand, one hundred four".

Divisors: 1 2 4 8 16 23 46 92 97 184 194 368 388 776 1549 1552 2231 3098 4462 6196 8924 12392 17848 24784 35627 35696 71254 142508 150253 285016 300506 570032 601012 1202024 2404048 3455819 6911638 13823276 27646552 55293104