Search a number
-
+
4033113056 = 25729279271
BaseRepresentation
bin1111000001100100…
…0110101111100000
3101102002000101000122
43300121012233200
531224434104211
61504111335412
7201641616050
oct36031065740
911362011018
104033113056
11178a650595
12946821568
134c374663b
142a38d3560
151891166db
hexf0646be0

4033113056 has 144 divisors (see below), whose sum is σ = 9552291840. Its totient is φ = 1641669120.

The previous prime is 4033113047. The next prime is 4033113121. The reversal of 4033113056 is 6503113304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14882201 + ... + 14882471.

It is an arithmetic number, because the mean of its divisors is an integer number (66335360).

Almost surely, 24033113056 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 4033113056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4776145920).

4033113056 is an abundant number, since it is smaller than the sum of its proper divisors (5519178784).

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

4033113056 is a wasteful number, since it uses less digits than its factorization.

4033113056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 425 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 4033113056 is about 63506.7953529384. The cubic root of 4033113056 is about 1591.7693284635.

The spelling of 4033113056 in words is "four billion, thirty-three million, one hundred thirteen thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 79 112 116 158 203 224 232 271 316 406 464 542 553 632 812 841 928 1084 1106 1264 1624 1682 1897 2168 2212 2291 2528 3248 3364 3794 4336 4424 4582 5887 6496 6728 7588 7859 8672 8848 9164 11774 13456 15176 15718 16037 17696 18328 21409 23548 26912 30352 31436 32074 36656 42818 47096 55013 60704 62872 64148 66439 73312 85636 94192 110026 125744 128296 132878 149863 171272 188384 220052 227911 251488 256592 265756 299726 342544 440104 455822 465073 513184 531512 599452 620861 685088 880208 911644 930146 1063024 1198904 1241722 1595377 1760416 1823288 1860292 2126048 2397808 2483444 3190754 3646576 3720584 4346027 4795616 4966888 6381508 7293152 7441168 8692054 9933776 12763016 14882336 17384108 18004969 19867552 25526032 34768216 36009938 51052064 69536432 72019876 126034783 139072864 144039752 252069566 288079504 504139132 576159008 1008278264 2016556528 4033113056