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5640948 = 2233192749
BaseRepresentation
bin10101100001001011110100
3101121120221000
4111201023310
52421002243
6320523300
765642625
oct25411364
911546830
105640948
113203145
121a80530
131226751
14a6ba4c
157665d3
hex5612f4

5640948 has 48 divisors (see below), whose sum is σ = 15400000. Its totient is φ = 1780704.

The previous prime is 5640919. The next prime is 5640953. The reversal of 5640948 is 8490465.

5640948 is a `hidden beast` number, since 5 + 640 + 9 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 678 + ... + 3426.

Almost surely, 25640948 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 5640948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7700000).

5640948 is an abundant number, since it is smaller than the sum of its proper divisors (9759052).

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

5640948 is a wasteful number, since it uses less digits than its factorization.

5640948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2773 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 5640948 is about 2375.0679990266. The cubic root of 5640948 is about 178.0125816970.

The spelling of 5640948 in words is "five million, six hundred forty thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 2749 5498 8247 10996 16494 24741 32988 49482 52231 74223 98964 104462 148446 156693 208924 296892 313386 470079 626772 940158 1410237 1880316 2820474 5640948