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1383717552 = 24376196653
BaseRepresentation
bin101001001111001…
…1101101010110000
310120102201010122020
41102132131222300
510313212430202
6345145511440
746201255650
oct12236355260
93512633566
101383717552
11650088528
123274a2580
1319089a4a9
14d1ab4360
158172a5bc
hex5279dab0

1383717552 has 80 divisors (see below), whose sum is σ = 4092476160. Its totient is φ = 394649856.

The previous prime is 1383717551. The next prime is 1383717557. The reversal of 1383717552 is 2557173831.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1383717551) 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, 204658 + ... + 211310.

It is an arithmetic number, because the mean of its divisors is an integer number (51155952).

Almost surely, 21383717552 is an apocalyptic number.

1383717552 is a gapful number since it is divisible by the number (12) 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 1383717552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2046238080).

1383717552 is an abundant number, since it is smaller than the sum of its proper divisors (2708758608).

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

1383717552 is a wasteful number, since it uses less digits than its factorization.

1383717552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7290 (or 7284 counting only the distinct ones).

The product of its digits is 176400, while the sum is 42.

The square root of 1383717552 is about 37198.3541571398. The cubic root of 1383717552 is about 1114.3351159463.

The spelling of 1383717552 in words is "one billion, three hundred eighty-three million, seven hundred seventeen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 619 1238 1857 2476 3714 4333 4952 6653 7428 8666 9904 12999 13306 14856 17332 19959 25998 26612 29712 34664 39918 46571 51996 53224 69328 79836 93142 103992 106448 139713 159672 186284 207984 279426 319344 372568 558852 745136 1117704 2235408 4118207 8236414 12354621 16472828 24709242 28827449 32945656 49418484 57654898 65891312 86482347 98836968 115309796 172964694 197673936 230619592 345929388 461239184 691858776 1383717552