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55381536 = 253379157
BaseRepresentation
bin1101001101000…
…0111000100000
310212012200012000
43103100320200
5103134202121
65255004000
71241510130
oct323207040
9125180160
1055381536
1129296a71
1216669600
13b620a52
1474d8ac0
154cde526
hex34d0e20

55381536 has 96 divisors (see below), whose sum is σ = 184625280. Its totient is φ = 15821568.

The previous prime is 55381519. The next prime is 55381553. The reversal of 55381536 is 63518355.

It is an interprime number because it is at equal distance from previous prime (55381519) and next prime (55381553).

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×553815362 = 6134229059438592, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 55381536.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1470 + ... + 10626.

It is an arithmetic number, because the mean of its divisors is an integer number (1923180).

Almost surely, 255381536 is an apocalyptic number.

55381536 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55381536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92312640).

55381536 is an abundant number, since it is smaller than the sum of its proper divisors (129243744).

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

55381536 is a wasteful number, since it uses less digits than its factorization.

55381536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9183 (or 9169 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 55381536 is about 7441.8771825394. The cubic root of 55381536 is about 381.1725921497.

The spelling of 55381536 in words is "fifty-five million, three hundred eighty-one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 9157 18314 27471 36628 54942 64099 73256 82413 109884 128198 146512 164826 192297 219768 247239 256396 293024 329652 384594 439536 494478 512792 576891 659304 769188 879072 988956 1025584 1153782 1318608 1538376 1730673 1977912 2051168 2307564 2637216 3076752 3461346 3955824 4615128 6153504 6922692 7911648 9230256 13845384 18460512 27690768 55381536