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3952036240 = 245173193739
BaseRepresentation
bin1110101110001111…
…0100100110010000
3101012102110020112121
43223203310212100
531043210124430
61452053504024
7166635516355
oct35343644620
911172406477
103952036240
111748904359
12923642014
134ac9ca0a9
14296c2a62c
15181e4da7a
hexeb8f4990

3952036240 has 80 divisors (see below), whose sum is σ = 10042928640. Its totient is φ = 1439815680.

The previous prime is 3952036237. The next prime is 3952036247. The reversal of 3952036240 is 426302593.

3952036240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 3952036196 and 3952036205.

It is not an unprimeable number, because it can be changed into a prime (3952036247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4710 + ... + 89029.

It is an arithmetic number, because the mean of its divisors is an integer number (125536608).

Almost surely, 23952036240 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 3952036240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5021464320).

3952036240 is an abundant number, since it is smaller than the sum of its proper divisors (6090892400).

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

3952036240 is a wasteful number, since it uses less digits than its factorization.

3952036240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93800 (or 93794 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 34.

The square root of 3952036240 is about 62865.2228183437. Note that the first 3 decimals coincide. The cubic root of 3952036240 is about 1581.0307113298.

The spelling of 3952036240 in words is "three billion, nine hundred fifty-two million, thirty-six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 31 34 40 62 68 80 85 124 136 155 170 248 272 310 340 496 527 620 680 1054 1240 1360 2108 2480 2635 4216 5270 8432 10540 21080 42160 93739 187478 374956 468695 749912 937390 1499824 1593563 1874780 2905909 3187126 3749560 5811818 6374252 7499120 7967815 11623636 12748504 14529545 15935630 23247272 25497008 29059090 31871260 46494544 49400453 58118180 63742520 98800906 116236360 127485040 197601812 232472720 247002265 395203624 494004530 790407248 988009060 1976018120 3952036240