Search a number
-
+
1996388352 = 21132715473
BaseRepresentation
bin111011011111110…
…0111100000000000
312011010120000222100
41312333213200000
513042033411402
6530033310400
7100321010130
oct16677474000
95133500870
101996388352
11934a00132
12478705400
1325a7b14aa
1414d1d8ac0
15ba3ec71c
hex76fe7800

1996388352 has 144 divisors (see below), whose sum is σ = 6590067120. Its totient is φ = 570359808.

The previous prime is 1996388351. The next prime is 1996388357. The reversal of 1996388352 is 2538836991.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1996388351) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 121288 + ... + 136760.

It is an arithmetic number, because the mean of its divisors is an integer number (45764355).

Almost surely, 21996388352 is an apocalyptic number.

1996388352 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 1996388352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3295033560).

1996388352 is an abundant number, since it is smaller than the sum of its proper divisors (4593678768).

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

1996388352 is a wasteful number, since it uses less digits than its factorization.

1996388352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15508 (or 15485 counting only the distinct ones).

The product of its digits is 2799360, while the sum is 54.

The square root of 1996388352 is about 44680.9618517775. The cubic root of 1996388352 is about 1259.1621943682.

The spelling of 1996388352 in words is "one billion, nine hundred ninety-six million, three hundred eighty-eight thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 128 144 168 192 224 252 256 288 336 384 448 504 512 576 672 768 896 1008 1024 1152 1344 1536 1792 2016 2048 2304 2688 3072 3584 4032 4608 5376 6144 7168 8064 9216 10752 14336 15473 16128 18432 21504 30946 32256 43008 46419 61892 64512 92838 108311 123784 129024 139257 185676 216622 247568 278514 324933 371352 433244 495136 557028 649866 742704 866488 974799 990272 1114056 1299732 1485408 1732976 1949598 1980544 2228112 2599464 2970816 3465952 3899196 3961088 4456224 5198928 5941632 6931904 7798392 7922176 8912448 10397856 11883264 13863808 15596784 15844352 17824896 20795712 23766528 27727616 31193568 31688704 35649792 41591424 47533056 55455232 62387136 71299584 83182848 95066112 110910464 124774272 142599168 166365696 221820928 249548544 285198336 332731392 499097088 665462784 998194176 1996388352