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55512468 = 2232111031361
BaseRepresentation
bin1101001111000…
…0110110010100
310212110022210100
43103300312110
5103202344333
65301454100
71242563634
oct323606624
9125408710
1055512468
1129376380
1216711330
13b66851b
1475306c4
154d18213
hex34f0d94

55512468 has 72 divisors (see below), whose sum is σ = 154679616. Its totient is φ = 16646400.

The previous prime is 55512461. The next prime is 55512473. The reversal of 55512468 is 86421555.

55512468 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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55512461) 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, 40108 + ... + 41468.

It is an arithmetic number, because the mean of its divisors is an integer number (2148328).

Almost surely, 255512468 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 55512468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77339808).

55512468 is an abundant number, since it is smaller than the sum of its proper divisors (99167148).

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

55512468 is a wasteful number, since it uses less digits than its factorization.

55512468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1485 (or 1480 counting only the distinct ones).

The product of its digits is 48000, while the sum is 36.

The square root of 55512468 is about 7450.6689632542. The cubic root of 55512468 is about 381.4727427939.

The spelling of 55512468 in words is "fifty-five million, five hundred twelve thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 103 132 198 206 309 396 412 618 927 1133 1236 1361 1854 2266 2722 3399 3708 4083 4532 5444 6798 8166 10197 12249 13596 14971 16332 20394 24498 29942 40788 44913 48996 59884 89826 134739 140183 179652 269478 280366 420549 538956 560732 841098 1261647 1542013 1682196 2523294 3084026 4626039 5046588 6168052 9252078 13878117 18504156 27756234 55512468