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55088544 = 25374239
BaseRepresentation
bin1101001000100…
…1010110100000
310211122210021110
43102021112200
5103100313134
65244423320
71236150000
oct322112640
9124583243
1055088544
1129106925
1216547b40
13b54a594
147460000
154c827e9
hex34895a0

55088544 has 120 divisors (see below), whose sum is σ = 169404480. Its totient is φ = 15673728.

The previous prime is 55088521. The next prime is 55088549. The reversal of 55088544 is 44588055.

It is a super-3 number, since 3×550885443 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55088549) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 230377 + ... + 230615.

It is an arithmetic number, because the mean of its divisors is an integer number (1411704).

Almost surely, 255088544 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 55088544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84702240).

55088544 is an abundant number, since it is smaller than the sum of its proper divisors (114315936).

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

55088544 is an equidigital number, since it uses as much as digits as its factorization.

55088544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 39.

The square root of 55088544 is about 7422.1657216745. The cubic root of 55088544 is about 380.4992146127.

The spelling of 55088544 in words is "fifty-five million, eighty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 84 96 98 112 147 168 196 224 239 294 336 343 392 478 588 672 686 717 784 956 1029 1176 1372 1434 1568 1673 1912 2058 2352 2401 2744 2868 3346 3824 4116 4704 4802 5019 5488 5736 6692 7203 7648 8232 9604 10038 10976 11472 11711 13384 14406 16464 19208 20076 22944 23422 26768 28812 32928 35133 38416 40152 46844 53536 57624 70266 76832 80304 81977 93688 115248 140532 160608 163954 187376 230496 245931 281064 327908 374752 491862 562128 573839 655816 983724 1124256 1147678 1311632 1721517 1967448 2295356 2623264 3443034 3934896 4590712 6886068 7869792 9181424 13772136 18362848 27544272 55088544