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3748649058 = 23473116133
BaseRepresentation
bin1101111101101111…
…1101100001100010
3100200020202002210000
43133123331201202
530134123232213
61415550320430
7161615664000
oct33733754142
910606662700
103748649058
111654018580
128874b9116
1347982814b
14277c05a70
1516e175c73
hexdf6fd862

3748649058 has 160 divisors (see below), whose sum is σ = 10687881600. Its totient is φ = 973516320.

The previous prime is 3748649041. The next prime is 3748649059. The reversal of 3748649058 is 8509468473.

3748649058 is a `hidden beast` number, since 3 + 74 + 86 + 490 + 5 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3748648995 and 3748649013.

It is not an unprimeable number, because it can be changed into a prime (3748649059) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 608160 + ... + 614292.

It is an arithmetic number, because the mean of its divisors is an integer number (66799260).

Almost surely, 23748649058 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3748649058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5343940800).

3748649058 is an abundant number, since it is smaller than the sum of its proper divisors (6939232542).

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

3748649058 is a wasteful number, since it uses less digits than its factorization.

3748649058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6179 (or 6156 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 3748649058 is about 61226.2121807319. The cubic root of 3748649058 is about 1553.4296665293.

The spelling of 3748649058 in words is "three billion, seven hundred forty-eight million, six hundred forty-nine thousand, fifty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 49 54 63 66 77 81 98 99 126 147 154 162 189 198 231 294 297 343 378 441 462 539 567 594 686 693 882 891 1029 1078 1134 1323 1386 1617 1782 2058 2079 2646 3087 3234 3773 3969 4158 4851 6133 6174 6237 7546 7938 9261 9702 11319 12266 12474 14553 18399 18522 22638 27783 29106 33957 36798 42931 43659 55197 55566 67463 67914 85862 87318 101871 110394 128793 134926 165591 202389 203742 257586 300517 305613 331182 386379 404778 472241 496773 601034 607167 611226 772758 901551 944482 993546 1159137 1214334 1416723 1803102 1821501 2103619 2318274 2704653 2833446 3305687 3477411 3643002 4207238 4250169 5409306 5464503 6310857 6611374 6954822 8113959 8500338 9917061 10929006 12621714 12750507 16227918 18932571 19834122 23139809 24341877 25501014 29751183 37865142 38251521 46279618 48683754 56797713 59502366 69419427 76503042 89253549 113595426 138838854 170393139 178507098 208258281 267760647 340786278 416516562 535521294 624774843 1249549686 1874324529 3748649058