Search a number
-
+
253255002 = 2371113149283
BaseRepresentation
bin11110001100001…
…01110101011010
3122122112200112220
433012011311122
51004313130002
641044044510
76163426530
oct1706056532
9578480486
10253255002
1111aa57260
1270993736
1340612140
14258c6150
15173787bc
hexf185d5a

253255002 has 128 divisors (see below), whose sum is σ = 687052800. Its totient is φ = 60099840.

The previous prime is 253254979. The next prime is 253255003. The reversal of 253255002 is 200552352.

It is not an unprimeable number, because it can be changed into a prime (253255003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 894753 + ... + 895035.

It is an arithmetic number, because the mean of its divisors is an integer number (5367600).

Almost surely, 2253255002 is an apocalyptic number.

253255002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 253255002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343526400).

253255002 is an abundant number, since it is smaller than the sum of its proper divisors (433797798).

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

253255002 is a wasteful number, since it uses less digits than its factorization.

253255002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468.

The product of its (nonzero) digits is 3000, while the sum is 24.

The square root of 253255002 is about 15913.9876209579. The cubic root of 253255002 is about 632.6827746972.

It can be divided in two parts, 253 and 255002, that added together give a triangular number (255255 = T714).

The spelling of 253255002 in words is "two hundred fifty-three million, two hundred fifty-five thousand, two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 149 154 182 231 273 283 286 298 429 447 462 546 566 849 858 894 1001 1043 1639 1698 1937 1981 2002 2086 3003 3113 3129 3278 3679 3874 3962 4917 5811 5943 6006 6226 6258 7358 9339 9834 11037 11473 11622 11886 13559 18678 21307 21791 22074 22946 25753 27118 34419 40469 40677 42167 42614 43582 51506 63921 65373 68838 77259 80938 81354 84334 121407 126501 127842 130746 149149 154518 242814 253002 283283 295169 298298 447447 463837 548171 566566 590338 849849 885507 894894 927674 1096342 1391511 1644513 1699698 1771014 2783022 3246859 3289026 3837197 6029881 6493718 7674394 9740577 11511591 12059762 18089643 19481154 23023182 36179286 42209167 84418334 126627501 253255002