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3945492544 = 26723733373
BaseRepresentation
bin1110101100101011…
…0111000001000000
3101011222010210021111
43223022313001000
531040021230134
61451301333104
7166526063500
oct35312670100
911158123244
103945492544
111745144a44
12921407194
134ab548796
14296005a00
151815a9c64
hexeb2b7040

3945492544 has 84 divisors (see below), whose sum is σ = 9134720364. Its totient is φ = 1685892096.

The previous prime is 3945492491. The next prime is 3945492569. The reversal of 3945492544 is 4452945493.

It can be written as a sum of positive squares in 2 ways, for example, as 3281914944 + 663577600 = 57288^2 + 25760^2 .

It is a super-2 number, since 2×39454925442 = 31133822829519183872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1168042 + ... + 1171414.

It is an arithmetic number, because the mean of its divisors is an integer number (108746671).

Almost surely, 23945492544 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 3945492544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4567360182).

3945492544 is an abundant number, since it is smaller than the sum of its proper divisors (5189227820).

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

3945492544 is a wasteful number, since it uses less digits than its factorization.

3945492544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3772 (or 3755 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 49.

The square root of 3945492544 is about 62813.1558194619. The cubic root of 3945492544 is about 1580.1576171339.

The spelling of 3945492544 in words is "three billion, nine hundred forty-five million, four hundred ninety-two thousand, five hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 373 392 448 746 784 1492 1568 2611 2984 3136 3373 5222 5968 6746 10444 11936 13492 18277 20888 23611 23872 26984 36554 41776 47222 53968 73108 83552 94444 107936 146216 165277 167104 188888 215872 292432 330554 377776 584864 661108 755552 1169728 1258129 1322216 1511104 2516258 2644432 5032516 5288864 8806903 10065032 10577728 17613806 20130064 35227612 40260128 61648321 70455224 80520256 123296642 140910448 246593284 281820896 493186568 563641792 986373136 1972746272 3945492544