Search a number
-
+
5037229152 = 2532431372969
BaseRepresentation
bin1001011000011111…
…00000010001100000
3111000001102202100200
410230033200101200
540304012313102
62151501145200
7235553512164
oct45417402140
914001382320
105037229152
1121554258aa
12b86b5b200
13623795187
1435add2ca4
151e735c51c
hex12c3e0460

5037229152 has 144 divisors (see below), whose sum is σ = 14769714960. Its totient is φ = 1627508736.

The previous prime is 5037229129. The next prime is 5037229157. The reversal of 5037229152 is 2519227305.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5037229157) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1695124 + ... + 1698092.

It is an arithmetic number, because the mean of its divisors is an integer number (102567465).

Almost surely, 25037229152 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 5037229152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7384857480).

5037229152 is an abundant number, since it is smaller than the sum of its proper divisors (9732485808).

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

5037229152 is a wasteful number, since it uses less digits than its factorization.

5037229152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3165 (or 3154 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 5037229152 is about 70973.4397644640. The cubic root of 5037229152 is about 1714.2095201373.

It can be divided in two parts, 50372 and 29152, that added together give a square (79524 = 2822).

The spelling of 5037229152 in words is "five billion, thirty-seven million, two hundred twenty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 72 86 96 129 137 144 172 258 274 288 344 387 411 516 548 688 774 822 1032 1096 1233 1376 1548 1644 2064 2192 2466 2969 3096 3288 4128 4384 4932 5891 5938 6192 6576 8907 9864 11782 11876 12384 13152 17673 17814 19728 23564 23752 26721 35346 35628 39456 47128 47504 53019 53442 70692 71256 94256 95008 106038 106884 127667 141384 142512 188512 212076 213768 255334 282768 285024 383001 406753 424152 427536 510668 565536 766002 813506 848304 855072 1021336 1149003 1220259 1532004 1627012 1696608 2042672 2298006 2440518 3064008 3254024 3660777 4085344 4596012 4881036 6128016 6508048 7321554 9192024 9762072 12256032 13016096 14643108 17490379 18384048 19524144 29286216 34980758 36768096 39048288 52471137 58572432 69961516 104942274 117144864 139923032 157413411 209884548 279846064 314826822 419769096 559692128 629653644 839538192 1259307288 1679076384 2518614576 5037229152