Search a number
-
+
55415648 = 25172343103
BaseRepresentation
bin1101001101100…
…1001101100000
310212021101222102
43103121031200
5103141300043
65255425532
71242011441
oct323311540
9125241872
1055415648
112930a662
12166852a8
13b633432
1475072c8
154ce96b8
hex34d9360

55415648 has 96 divisors (see below), whose sum is σ = 124540416. Its totient is φ = 24127488.

The previous prime is 55415639. The next prime is 55415707. The reversal of 55415648 is 84651455.

It is a happy number.

It is a super-3 number, since 3×554156483 (a number of 24 digits) contains 333 as substring.

It is a congruent number.

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, 537965 + ... + 538067.

It is an arithmetic number, because the mean of its divisors is an integer number (1297296).

Almost surely, 255415648 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 55415648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62270208).

55415648 is an abundant number, since it is smaller than the sum of its proper divisors (69124768).

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

55415648 is a wasteful number, since it uses less digits than its factorization.

55415648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 188 counting only the distinct ones).

The product of its digits is 96000, while the sum is 38.

The square root of 55415648 is about 7444.1687245790. The cubic root of 55415648 is about 381.2508365833.

The spelling of 55415648 in words is "fifty-five million, four hundred fifteen thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 17 23 32 34 43 46 68 86 92 103 136 172 184 206 272 344 368 391 412 544 688 731 736 782 824 989 1376 1462 1564 1648 1751 1978 2369 2924 3128 3296 3502 3956 4429 4738 5848 6256 7004 7912 8858 9476 11696 12512 14008 15824 16813 17716 18952 23392 28016 31648 33626 35432 37904 40273 56032 67252 70864 75293 75808 80546 101867 134504 141728 150586 161092 203734 269008 301172 322184 407468 538016 602344 644368 814936 1204688 1288736 1629872 1731739 2409376 3259744 3463478 6926956 13853912 27707824 55415648