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1393049568 = 25329661757
BaseRepresentation
bin101001100001000…
…0011111111100000
310121002021020202110
41103002003333200
510323110041233
6350121515320
746343504001
oct12302037740
93532236673
101393049568
11655381839
1232a642b40
131927b6cb1
14d30231a8
1582470663
hex53083fe0

1393049568 has 96 divisors (see below), whose sum is σ = 3793577760. Its totient is φ = 447068160.

The previous prime is 1393049473. The next prime is 1393049569. The reversal of 1393049568 is 8659403931.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1393049569) 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, 1839846 + ... + 1840602.

It is an arithmetic number, because the mean of its divisors is an integer number (39516435).

Almost surely, 21393049568 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 1393049568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1896788880).

1393049568 is an abundant number, since it is smaller than the sum of its proper divisors (2400528192).

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

1393049568 is a wasteful number, since it uses less digits than its factorization.

1393049568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1460 (or 1452 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The square root of 1393049568 is about 37323.5792495843. The cubic root of 1393049568 is about 1116.8345910775.

The spelling of 1393049568 in words is "one billion, three hundred ninety-three million, forty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 661 696 757 928 1322 1392 1514 1983 2271 2644 2784 3028 3966 4542 5288 6056 7932 9084 10576 12112 15864 18168 19169 21152 21953 24224 31728 36336 38338 43906 57507 63456 65859 72672 76676 87812 115014 131718 153352 175624 230028 263436 306704 351248 460056 500377 526872 613408 702496 920112 1000754 1053744 1501131 1840224 2001508 2107488 3002262 4003016 6004524 8006032 12009048 14510933 16012064 24018096 29021866 43532799 48036192 58043732 87065598 116087464 174131196 232174928 348262392 464349856 696524784 1393049568