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1393627644 = 22323747113197
BaseRepresentation
bin101001100010001…
…0001000111111100
310121010100121201200
41103010101013330
510323232041034
6350142135500
746351432233
oct12304210774
93533317650
101393627644
11655737092
1232a881590
1319295a156
14d3133b1a
1582536a99
hex531111fc

1393627644 has 144 divisors (see below), whose sum is σ = 3746590848. Its totient is φ = 436230144.

The previous prime is 1393627643. The next prime is 1393627657. The reversal of 1393627644 is 4467263931.

1393627644 is a `hidden beast` number, since 13 + 9 + 3 + 627 + 6 + 4 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1393627644.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1393627643) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7074154 + ... + 7074350.

It is an arithmetic number, because the mean of its divisors is an integer number (26017992).

Almost surely, 21393627644 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 1393627644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873295424).

1393627644 is an abundant number, since it is smaller than the sum of its proper divisors (2352963204).

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

1393627644 is a wasteful number, since it uses less digits than its factorization.

1393627644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 399 counting only the distinct ones).

The product of its digits is 653184, while the sum is 45.

The square root of 1393627644 is about 37331.3225589451. The cubic root of 1393627644 is about 1116.9890545904.

The spelling of 1393627644 in words is "one billion, three hundred ninety-three million, six hundred twenty-seven thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 47 74 94 111 113 141 148 188 197 222 226 282 333 339 394 423 444 452 564 591 666 678 788 846 1017 1182 1332 1356 1692 1739 1773 2034 2364 3478 3546 4068 4181 5217 5311 6956 7092 7289 8362 9259 10434 10622 12543 14578 15651 15933 16724 18518 20868 21244 21867 22261 25086 27777 29156 31302 31866 37036 37629 43734 44522 47799 50172 55554 62604 63732 65601 66783 75258 83331 87468 89044 95598 111108 131202 133566 150516 166662 191196 196507 200349 262404 267132 333324 342583 393014 400698 589521 685166 786028 801396 823657 1027749 1046267 1179042 1370332 1647314 1768563 2055498 2092534 2358084 2470971 3083247 3138801 3294628 3537126 4110996 4185068 4941942 6166494 6277602 7074252 7412913 9416403 9883884 12332988 12555204 14825826 18832806 29651652 37665612 38711879 77423758 116135637 154847516 232271274 348406911 464542548 696813822 1393627644