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55383672 = 23337471327
BaseRepresentation
bin1101001101000…
…1011001111000
310212012210010010
43103101121320
5103134234142
65255021520
71241516301
oct323213170
9125183103
1055383672
1129298633
121666a8a0
13b621a06
1474d97a8
154cdee9c
hex34d1678

55383672 has 64 divisors (see below), whose sum is σ = 145336320. Its totient is φ = 17566848.

The previous prime is 55383667. The next prime is 55383703. The reversal of 55383672 is 27638355.

55383672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×553836722 = 6134702248407168, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 55383672.

It is a congruent number.

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, 41073 + ... + 42399.

It is an arithmetic number, because the mean of its divisors is an integer number (2270880).

Almost surely, 255383672 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 55383672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72668160).

55383672 is an abundant number, since it is smaller than the sum of its proper divisors (89952648).

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

55383672 is a wasteful number, since it uses less digits than its factorization.

55383672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1420 (or 1416 counting only the distinct ones).

The product of its digits is 151200, while the sum is 39.

The square root of 55383672 is about 7442.0206933332. The cubic root of 55383672 is about 381.1774925446.

The spelling of 55383672 in words is "fifty-five million, three hundred eighty-three thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 37 47 74 94 111 141 148 188 222 282 296 376 444 564 888 1128 1327 1739 2654 3478 3981 5217 5308 6956 7962 10434 10616 13912 15924 20868 31848 41736 49099 62369 98198 124738 147297 187107 196396 249476 294594 374214 392792 498952 589188 748428 1178376 1496856 2307653 4615306 6922959 9230612 13845918 18461224 27691836 55383672