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3901052672 = 28113737441
BaseRepresentation
bin1110100010000101…
…0101011100000000
3101001212112000020022
43220201111130000
530442132141142
61443033033012
7165446254256
oct35041253400
911055460208
103901052672
111722051680
1290a555768
134a22890ba
142901585d6
1517c72c6d2
hexe8855700

3901052672 has 72 divisors (see below), whose sum is σ = 8724585072. Its totient is φ = 1725235200.

The previous prime is 3901052647. The next prime is 3901052693. The reversal of 3901052672 is 2762501093.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 85472 + ... + 122912.

Almost surely, 23901052672 is an apocalyptic number.

3901052672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3901052672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4362292536).

3901052672 is an abundant number, since it is smaller than the sum of its proper divisors (4823532400).

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

3901052672 is a wasteful number, since it uses less digits than its factorization.

3901052672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37505 (or 37491 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 35.

The square root of 3901052672 is about 62458.4075365359. The cubic root of 3901052672 is about 1574.2025252464.

The spelling of 3901052672 in words is "three billion, nine hundred one million, fifty-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 128 148 176 256 296 352 407 592 704 814 1184 1408 1628 2368 2816 3256 4736 6512 9472 13024 26048 37441 52096 74882 104192 149764 299528 411851 599056 823702 1198112 1385317 1647404 2396224 2770634 3294808 4792448 5541268 6589616 9584896 11082536 13179232 15238487 22165072 26358464 30476974 44330144 52716928 60953948 88660288 105433856 121907896 177320576 243815792 354641152 487631584 975263168 1950526336 3901052672