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3728045574 = 234112238269
BaseRepresentation
bin1101111000110101…
…0111011000000110
3100121210222100010000
43132031113120012
530113334424244
61413532542130
7161245602351
oct33615273006
910553870100
103728045574
111643425900
12880621946
13475493136
142751a1298
1516c456169
hexde357606

3728045574 has 120 divisors (see below), whose sum is σ = 9582415920. Its totient is φ = 1080462240.

The previous prime is 3728045569. The next prime is 3728045603. The reversal of 3728045574 is 4755408273.

3728045574 is a `hidden beast` number, since 3 + 72 + 8 + 0 + 4 + 5 + 574 = 666.

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 59 ways as a sum of consecutive naturals, for example, 446712 + ... + 454980.

It is an arithmetic number, because the mean of its divisors is an integer number (79853466).

Almost surely, 23728045574 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3728045574, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4791207960).

3728045574 is an abundant number, since it is smaller than the sum of its proper divisors (5854370346).

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

3728045574 is a wasteful number, since it uses less digits than its factorization.

3728045574 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8328 (or 8308 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The square root of 3728045574 is about 61057.7232952556. The cubic root of 3728045574 is about 1550.5784277510.

The spelling of 3728045574 in words is "three billion, seven hundred twenty-eight million, forty-five thousand, five hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 23 27 33 46 54 66 69 81 99 121 138 162 198 207 242 253 297 363 414 506 594 621 726 759 891 1089 1242 1518 1782 1863 2178 2277 2783 3267 3726 4554 5566 6534 6831 8269 8349 9801 13662 16538 16698 19602 20493 24807 25047 40986 49614 50094 74421 75141 90959 148842 150282 181918 190187 223263 225423 272877 380374 446526 450846 545754 570561 669789 818631 1000549 1141122 1339578 1637262 1711683 2001098 2092057 2455893 3001647 3423366 4184114 4911786 5135049 6003294 6276171 7367679 9004941 10270098 12552342 14735358 15405147 18009882 18828513 23012627 27014823 30810294 37657026 46025254 54029646 56485539 69037881 81044469 112971078 138075762 162088938 169456617 207113643 338913234 414227286 621340929 1242681858 1864022787 3728045574