Search a number
-
+
5891541376 = 27737712503
BaseRepresentation
bin1010111110010100…
…11100100110000000
3120012120222022102011
411133022130212000
544031213311001
62412340102304
7265666163320
oct53712344600
916176868364
105891541376
112553692266
121185094994
1372b783176
143dc659280
15247361d51
hex15f29c980

5891541376 has 128 divisors (see below), whose sum is σ = 13975925760. Its totient is φ = 2421135360.

The previous prime is 5891541373. The next prime is 5891541389. The reversal of 5891541376 is 6731451985.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Smith number, since the sum of its digits (49) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5891541373) 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, 2352541 + ... + 2355043.

It is an arithmetic number, because the mean of its divisors is an integer number (109186920).

Almost surely, 25891541376 is an apocalyptic number.

5891541376 is a gapful number since it is divisible by the number (56) 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 5891541376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6987962880).

5891541376 is an abundant number, since it is smaller than the sum of its proper divisors (8084384384).

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

5891541376 is a wasteful number, since it uses less digits than its factorization.

5891541376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2632 (or 2620 counting only the distinct ones).

The product of its digits is 907200, while the sum is 49.

The square root of 5891541376 is about 76756.3767774378. The cubic root of 5891541376 is about 1806.1049269292.

The spelling of 5891541376 in words is "five billion, eight hundred ninety-one million, five hundred forty-one thousand, three hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 64 71 74 112 128 142 148 224 259 284 296 448 497 518 568 592 896 994 1036 1136 1184 1988 2072 2272 2368 2503 2627 3976 4144 4544 4736 5006 5254 7952 8288 9088 10012 10508 15904 16576 17521 18389 20024 21016 31808 33152 35042 36778 40048 42032 63616 70084 73556 80096 84064 92611 140168 147112 160192 168128 177713 185222 280336 294224 320384 336256 355426 370444 560672 588448 648277 710852 740888 1121344 1176896 1243991 1296554 1421704 1481776 2242688 2353792 2487982 2593108 2843408 2963552 4975964 5186216 5686816 5927104 6575381 9951928 10372432 11373632 11854208 13150762 19903856 20744864 22747264 26301524 39807712 41489728 46027667 52603048 79615424 82979456 92055334 105206096 159230848 184110668 210412192 368221336 420824384 736442672 841648768 1472885344 2945770688 5891541376