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3812525838 = 2321125929669
BaseRepresentation
bin1110001100111110…
…1000011100001110
3100211200221101020200
43203033220130032
530302001311323
61430151354330
7163322635452
oct34317503416
910750841220
103812525838
111687087100
128a49829a6
13489b31864
142824b2662
15174a92443
hexe33e870e

3812525838 has 72 divisors (see below), whose sum is σ = 9233897400. Its totient is φ = 1135691040.

The previous prime is 3812525789. The next prime is 3812525851. The reversal of 3812525838 is 8385252183.

3812525838 is a `hidden beast` number, since 3 + 8 + 12 + 52 + 583 + 8 = 666.

It is an alternating number because its digits alternate between odd and even.

It is a junction number, because it is equal to n+sod(n) for n = 3812525793 and 3812525802.

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 35 ways as a sum of consecutive naturals, for example, 113668 + ... + 143336.

It is an arithmetic number, because the mean of its divisors is an integer number (128248575).

Almost surely, 23812525838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3812525838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4616948700).

3812525838 is an abundant number, since it is smaller than the sum of its proper divisors (5421371562).

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

3812525838 is a wasteful number, since it uses less digits than its factorization.

3812525838 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29758 (or 29744 counting only the distinct ones).

The product of its digits is 460800, while the sum is 45.

The square root of 3812525838 is about 61745.6544057960. The cubic root of 3812525838 is about 1562.2034714772.

The spelling of 3812525838 in words is "three billion, eight hundred twelve million, five hundred twenty-five thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 9 11 18 22 33 59 66 99 118 121 177 198 242 354 363 531 649 726 1062 1089 1298 1947 2178 3894 5841 7139 11682 14278 21417 29669 42834 59338 64251 89007 128502 178014 267021 326359 534042 652718 979077 1750471 1958154 2937231 3500942 3589949 5251413 5874462 7179898 10502826 10769847 15754239 19255181 21539694 31508478 32309541 38510362 57765543 64619082 115531086 173296629 211806991 346593258 423613982 635420973 1270841946 1906262919 3812525838