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55005608 = 23717193041
BaseRepresentation
bin1101000111010…
…1000110101000
310211111120111202
43101311012220
5103040134413
65242543332
71235353130
oct321650650
9124446452
1055005608
112905a589
1216507b48
13b51b8c8
14743bac0
154c67e58
hex34751a8

55005608 has 64 divisors (see below), whose sum is σ = 131414400. Its totient is φ = 21012480.

The previous prime is 55005583. The next prime is 55005623. The reversal of 55005608 is 80650055.

It is a super-2 number, since 2×550056082 = 6051233822899328, which contains 22 as substring.

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, 16568 + ... + 19608.

It is an arithmetic number, because the mean of its divisors is an integer number (2053350).

Almost surely, 255005608 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 55005608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65707200).

55005608 is an abundant number, since it is smaller than the sum of its proper divisors (76408792).

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

55005608 is a wasteful number, since it uses less digits than its factorization.

55005608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3090 (or 3086 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

The square root of 55005608 is about 7416.5765687411. The cubic root of 55005608 is about 380.3081710656.

The spelling of 55005608 in words is "fifty-five million, five thousand, six hundred eight".

Divisors: 1 2 4 7 8 14 17 19 28 34 38 56 68 76 119 133 136 152 238 266 323 476 532 646 952 1064 1292 2261 2584 3041 4522 6082 9044 12164 18088 21287 24328 42574 51697 57779 85148 103394 115558 170296 206788 231116 361879 404453 413576 462232 723758 808906 982243 1447516 1617812 1964486 2895032 3235624 3928972 6875701 7857944 13751402 27502804 55005608