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3641138928 = 243273612241
BaseRepresentation
bin1101100100000111…
…0101111011110000
3100101202110000121100
43121001311323300
524424112421203
61401150124400
7156142112250
oct33101657360
910352400540
103641138928
1115a9367629
128574b0700
1346048519b
1426781b960
151649daea3
hexd9075ef0

3641138928 has 60 divisors (see below), whose sum is σ = 11645868208. Its totient is φ = 1040325120.

The previous prime is 3641138903. The next prime is 3641138933. The reversal of 3641138928 is 8298311463.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1805113 + ... + 1807128.

Almost surely, 23641138928 is an apocalyptic number.

It is an amenable number.

3641138928 is an abundant number, since it is smaller than the sum of its proper divisors (8004729280).

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

3641138928 is a wasteful number, since it uses less digits than its factorization.

3641138928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3612262 (or 3612253 counting only the distinct ones).

The product of its digits is 248832, while the sum is 45.

The square root of 3641138928 is about 60341.8505516694. The cubic root of 3641138928 is about 1538.4347575348.

The spelling of 3641138928 in words is "three billion, six hundred forty-one million, one hundred thirty-eight thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 3612241 7224482 10836723 14448964 21673446 25285687 28897928 32510169 43346892 50571374 57795856 65020338 75857061 86693784 101142748 130040676 151714122 173387568 202285496 227571183 260081352 303428244 404570992 455142366 520162704 606856488 910284732 1213712976 1820569464 3641138928