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55271520 = 25325131293
BaseRepresentation
bin1101001011011…
…0000001100000
310212000002021100
43102312001200
5103122142040
65252354400
71240541313
oct322660140
9125002240
1055271520
1129221347
1216615a00
13b5b2955
1474aa97a
154cbbb30
hex34b6060

55271520 has 144 divisors (see below), whose sum is σ = 190702512. Its totient is φ = 14576640.

The previous prime is 55271509. The next prime is 55271521. The reversal of 55271520 is 2517255.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×552715202 = 6109881846220800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55271521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 188494 + ... + 188786.

It is an arithmetic number, because the mean of its divisors is an integer number (1324323).

Almost surely, 255271520 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 55271520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95351256).

55271520 is an abundant number, since it is smaller than the sum of its proper divisors (135430992).

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

55271520 is a wasteful number, since it uses less digits than its factorization.

55271520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 55271520 is about 7434.4818245793. The cubic root of 55271520 is about 380.9200237200.

Adding to 55271520 its reverse (2517255), we get a palindrome (57788775).

The spelling of 55271520 in words is "fifty-five million, two hundred seventy-one thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 131 144 160 180 240 262 288 293 360 393 480 524 586 655 720 786 879 1048 1172 1179 1310 1440 1465 1572 1758 1965 2096 2344 2358 2620 2637 2930 3144 3516 3930 4192 4395 4688 4716 5240 5274 5860 5895 6288 7032 7860 8790 9376 9432 10480 10548 11720 11790 12576 13185 14064 15720 17580 18864 20960 21096 23440 23580 26370 28128 31440 35160 37728 38383 42192 46880 47160 52740 62880 70320 76766 84384 94320 105480 115149 140640 153532 188640 191915 210960 230298 307064 345447 383830 421920 460596 575745 614128 690894 767660 921192 1151490 1228256 1381788 1535320 1727235 1842384 2302980 2763576 3070640 3454470 3684768 4605960 5527152 6141280 6908940 9211920 11054304 13817880 18423840 27635760 55271520