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4172255648 = 251136732297
BaseRepresentation
bin1111100010101111…
…1001000110100000
3101202202211112202222
43320223321012200
532021044140043
61530001530212
7205251405431
oct37053710640
911682745688
104172255648
111851147470
12985343968
13516513632
142b8193488
1519644dd68
hexf8af91a0

4172255648 has 48 divisors (see below), whose sum is σ = 8985561984. Its totient is φ = 1891253760.

The previous prime is 4172255627. The next prime is 4172255663. The reversal of 4172255648 is 8465522714.

4172255648 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Cunningham number, because it is equal to 645932-1.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4172255599 and 4172255608.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 113036 + ... + 145332.

It is an arithmetic number, because the mean of its divisors is an integer number (187199208).

Almost surely, 24172255648 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 4172255648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4492780992).

4172255648 is an abundant number, since it is smaller than the sum of its proper divisors (4813306336).

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

4172255648 is a wasteful number, since it uses less digits than its factorization.

4172255648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32685 (or 32677 counting only the distinct ones).

The product of its digits is 537600, while the sum is 44.

The square root of 4172255648 is about 64592.9999922592. Note that the first 5 decimals coincide. The cubic root of 4172255648 is about 1609.8681331757.

The spelling of 4172255648 in words is "four billion, one hundred seventy-two million, two hundred fifty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 352 367 734 1468 2936 4037 5872 8074 11744 16148 32296 32297 64592 64594 129184 129188 258376 355267 516752 710534 1033504 1421068 2842136 5684272 11368544 11852999 23705998 47411996 94823992 130382989 189647984 260765978 379295968 521531956 1043063912 2086127824 4172255648