Search a number
-
+
5032003152 = 2431183199577
BaseRepresentation
bin1001010111110111…
…00100011001010000
3110222200121020122010
410223323210121100
540301143100102
62151153142520
7235461215061
oct45373443120
913880536563
105032003152
1121524864a0
12b8525aa40
13622685577
1435a432568
151e6b78d6c
hex12bee4650

5032003152 has 160 divisors (see below), whose sum is σ = 14449075200. Its totient is φ = 1496309760.

The previous prime is 5032003139. The next prime is 5032003153. The reversal of 5032003152 is 2513002305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5032003153) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8720688 + ... + 8721264.

It is an arithmetic number, because the mean of its divisors is an integer number (90306720).

Almost surely, 25032003152 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 5032003152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7224537600).

5032003152 is an abundant number, since it is smaller than the sum of its proper divisors (9417072048).

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

5032003152 is a wasteful number, since it uses less digits than its factorization.

5032003152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 881 (or 875 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 5032003152 is about 70936.6136208940. The cubic root of 5032003152 is about 1713.6164984232.

Adding to 5032003152 its reverse (2513002305), we get a palindrome (7545005457).

The spelling of 5032003152 in words is "five billion, thirty-two million, three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 83 88 132 166 176 199 249 264 332 398 498 528 577 597 664 796 913 996 1154 1194 1328 1592 1731 1826 1992 2189 2308 2388 2739 3184 3462 3652 3984 4378 4616 4776 5478 6347 6567 6924 7304 8756 9232 9552 10956 12694 13134 13848 14608 16517 17512 19041 21912 25388 26268 27696 33034 35024 38082 43824 47891 49551 50776 52536 66068 76164 95782 99102 101552 105072 114823 132136 143673 152328 181687 191564 198204 229646 264272 287346 304656 344469 363374 383128 396408 459292 526801 545061 574692 688938 726748 766256 792816 918584 1053602 1090122 1149384 1263053 1377876 1453496 1580403 1837168 2107204 2180244 2298768 2526106 2755752 2906992 3160806 3789159 4214408 4360488 5052212 5511504 6321612 7578318 8428816 8720976 9530309 10104424 12643224 15156636 19060618 20208848 25286448 28590927 30313272 38121236 57181854 60626544 76242472 104833399 114363708 152484944 209666798 228727416 314500197 419333596 457454832 629000394 838667192 1258000788 1677334384 2516001576 5032003152