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2552043132 = 223331267367
BaseRepresentation
bin1001100000011101…
…0001011001111100
320120212010020001000
42120013101121330
520211310340012
61101123050300
7120146002662
oct23007213174
96525106030
102552043132
11109a61a861
125b2810990
133189517c2
141a2d1ac32
15ee0aaddc
hex981d167c

2552043132 has 144 divisors (see below), whose sum is σ = 6957672960. Its totient is φ = 808742880.

The previous prime is 2552043113. The next prime is 2552043139. The reversal of 2552043132 is 2313402552.

It is a happy number.

2552043132 is a `hidden beast` number, since 2 + 5 + 520 + 4 + 3 + 132 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 2552043096 and 2552043105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2552043139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6953613 + ... + 6953979.

Almost surely, 22552043132 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 2552043132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3478836480).

2552043132 is an abundant number, since it is smaller than the sum of its proper divisors (4405629828).

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

2552043132 is a wasteful number, since it uses less digits than its factorization.

2552043132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 509 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 2552043132 is about 50517.7506625147. The cubic root of 2552043132 is about 1366.5619892329.

Adding to 2552043132 its reverse (2313402552), we get a palindrome (4865445684).

The spelling of 2552043132 in words is "two billion, five hundred fifty-two million, forty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 31 36 54 62 67 93 108 124 134 186 201 268 279 367 372 402 558 603 734 804 837 961 1101 1116 1206 1468 1674 1809 1922 2077 2202 2412 2883 3303 3348 3618 3844 4154 4404 5766 6231 6606 7236 8308 8649 9909 11377 11532 12462 13212 17298 18693 19818 22754 24589 24924 25947 34131 34596 37386 39636 45508 49178 51894 56079 64387 68262 73767 74772 98356 102393 103788 112158 128774 136524 147534 193161 204786 221301 224316 257548 295068 307179 352687 386322 409572 442602 579483 614358 663903 705374 762259 772644 885204 1058061 1158966 1228716 1327806 1410748 1524518 1738449 2116122 2286777 2317932 2655612 3049036 3174183 3476898 4232244 4573554 6348366 6860331 6953796 9147108 9522549 12696732 13720662 19045098 20580993 23630029 27441324 38090196 41161986 47260058 70890087 82323972 94520116 141780174 212670261 283560348 425340522 638010783 850681044 1276021566 2552043132