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1031889408 = 29311157389
BaseRepresentation
bin111101100000010…
…110001000000000
32122220200102011020
4331200112020000
54103130430113
6250220545440
734366625634
oct7540261000
92586612136
101031889408
1148a524870
122496b2280
13135a24164
149b08cdc4
15608d0023
hex3d816200

1031889408 has 160 divisors (see below), whose sum is σ = 3025788480. Its totient is φ = 309903360.

The previous prime is 1031889403. The next prime is 1031889421. The reversal of 1031889408 is 8049881301.

It is a self number, because there is not a number n which added to its sum of digits gives 1031889408.

It is not an unprimeable number, because it can be changed into a prime (1031889403) 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, 2652478 + ... + 2652866.

It is an arithmetic number, because the mean of its divisors is an integer number (18911178).

Almost surely, 21031889408 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 1031889408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1512894240).

1031889408 is an abundant number, since it is smaller than the sum of its proper divisors (1993899072).

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

1031889408 is a wasteful number, since it uses less digits than its factorization.

1031889408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 42.

The square root of 1031889408 is about 32123.0354730060. The cubic root of 1031889408 is about 1010.5187701922.

The spelling of 1031889408 in words is "one billion, thirty-one million, eight hundred eighty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 157 176 192 256 264 314 352 384 389 471 512 528 628 704 768 778 942 1056 1167 1256 1408 1536 1556 1727 1884 2112 2334 2512 2816 3112 3454 3768 4224 4279 4668 5024 5181 5632 6224 6908 7536 8448 8558 9336 10048 10362 12448 12837 13816 15072 16896 17116 18672 20096 20724 24896 25674 27632 30144 34232 37344 40192 41448 49792 51348 55264 60288 61073 68464 74688 80384 82896 99584 102696 110528 120576 122146 136928 149376 165792 183219 199168 205392 221056 241152 244292 273856 298752 331584 366438 410784 442112 488584 547712 597504 663168 671803 732876 821568 884224 977168 1095424 1326336 1343606 1465752 1643136 1954336 2015409 2190848 2652672 2687212 2931504 3286272 3908672 4030818 5374424 5863008 6572544 7817344 8061636 10748848 11726016 15634688 16123272 21497696 23452032 31269376 32246544 42995392 46904064 64493088 85990784 93808128 128986176 171981568 257972352 343963136 515944704 1031889408