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3147242592 = 253132521829
BaseRepresentation
bin1011101110010111…
…0001110001100000
322010100002111012110
42323211301301200
522421143230332
61240144155320
7140664056244
oct27345616140
98110074173
103147242592
111375599a3a
1273a008b40
133b2059330
1421bdb4424
1513647b4cc
hexbb971c60

3147242592 has 48 divisors (see below), whose sum is σ = 8897016240. Its totient is φ = 968381952.

The previous prime is 3147242591. The next prime is 3147242611. The reversal of 3147242592 is 2952427413.

3147242592 is digitally balanced in base 2 and base 4, because in such bases 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 (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 3147242592.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3147242591) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1259667 + ... + 1262162.

It is an arithmetic number, because the mean of its divisors is an integer number (185354505).

Almost surely, 23147242592 is an apocalyptic number.

3147242592 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3147242592 is an abundant number, since it is smaller than the sum of its proper divisors (5749773648).

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

3147242592 is a wasteful number, since it uses less digits than its factorization.

3147242592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521855 (or 2521847 counting only the distinct ones).

The product of its digits is 120960, while the sum is 39.

The square root of 3147242592 is about 56100.2904805314. The cubic root of 3147242592 is about 1465.4693510265.

The spelling of 3147242592 in words is "three billion, one hundred forty-seven million, two hundred forty-two thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 2521829 5043658 7565487 10087316 15130974 20174632 30261948 32783777 40349264 60523896 65567554 80698528 98351331 121047792 131135108 196702662 242095584 262270216 393405324 524540432 786810648 1049080864 1573621296 3147242592