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55098288 = 24327471163
BaseRepresentation
bin1101001000101…
…1101110110000
310211200021122100
43102023232300
5103101121123
65244540400
71236220260
oct322135660
9124607570
1055098288
1129113183
1216551700
13b551b4b
1474637a0
154c85643
hex348bbb0

55098288 has 120 divisors (see below), whose sum is σ = 180131328. Its totient is φ = 15394176.

The previous prime is 55098287. The next prime is 55098299. The reversal of 55098288 is 88289055.

55098288 is a `hidden beast` number, since 550 + 98 + 2 + 8 + 8 = 666.

55098288 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (55098287) 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 23 ways as a sum of consecutive naturals, for example, 46795 + ... + 47957.

Almost surely, 255098288 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 55098288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90065664).

55098288 is an abundant number, since it is smaller than the sum of its proper divisors (125033040).

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

55098288 is a wasteful number, since it uses less digits than its factorization.

55098288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The square root of 55098288 is about 7422.8221048332. The cubic root of 55098288 is about 380.5216473819.

The spelling of 55098288 in words is "fifty-five million, ninety-eight thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 47 48 56 63 72 84 94 112 126 141 144 168 188 252 282 329 336 376 423 504 564 658 752 846 987 1008 1128 1163 1316 1692 1974 2256 2326 2632 2961 3384 3489 3948 4652 5264 5922 6768 6978 7896 8141 9304 10467 11844 13956 15792 16282 18608 20934 23688 24423 27912 32564 41868 47376 48846 54661 55824 65128 73269 83736 97692 109322 130256 146538 163983 167472 195384 218644 293076 327966 382627 390768 437288 491949 586152 655932 765254 874576 983898 1147881 1172304 1311864 1530508 1967796 2295762 2623728 3061016 3443643 3935592 4591524 6122032 6887286 7871184 9183048 13774572 18366096 27549144 55098288