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3728075232 = 25373432633
BaseRepresentation
bin1101111000110101…
…1110100111100000
3100121211000211210110
43132031132213200
530113341401412
61413533331320
7161246055000
oct33615364740
910554024713
103728075232
111643446112
12880636b40
134754a379b
142751ac000
1516c45ed3c
hexde35e9e0

3728075232 has 192 divisors, whose sum is σ = 11682316800. Its totient is φ = 1039997952.

The previous prime is 3728075213. The next prime is 3728075243. The reversal of 3728075232 is 2325708273.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1414588 + ... + 1417220.

It is an arithmetic number, because the mean of its divisors is an integer number (60845400).

Almost surely, 23728075232 is an apocalyptic number.

3728075232 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 3728075232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5841158400).

3728075232 is an abundant number, since it is smaller than the sum of its proper divisors (7954241568).

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

3728075232 is a wasteful number, since it uses less digits than its factorization.

3728075232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2710 (or 2688 counting only the distinct ones).

The product of its (nonzero) digits is 141120, while the sum is 39.

The square root of 3728075232 is about 61057.9661633107. The cubic root of 3728075232 is about 1550.5825395510.

The spelling of 3728075232 in words is "three billion, seven hundred twenty-eight million, seventy-five thousand, two hundred thirty-two".