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253064532 = 223731157619
BaseRepresentation
bin11110001010101…
…11010101010100
3122122012000021110
433011113111110
51004241031112
641040015020
76162004320
oct1705272524
9578160243
10253064532
1111a937146
1270901470
1340576536
1425876980
151733c13c
hexf157554

253064532 has 96 divisors (see below), whose sum is σ = 702177280. Its totient is φ = 69413760.

The previous prime is 253064531. The next prime is 253064549. The reversal of 253064532 is 235460352.

253064532 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

253064532 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 253064532.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253064531) 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, 408519 + ... + 409137.

Almost surely, 2253064532 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 253064532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351088640).

253064532 is an abundant number, since it is smaller than the sum of its proper divisors (449112748).

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

253064532 is a wasteful number, since it uses less digits than its factorization.

253064532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821 (or 819 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

The square root of 253064532 is about 15908.0021372893. The cubic root of 253064532 is about 632.5241239165.

The spelling of 253064532 in words is "two hundred fifty-three million, sixty-four thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 31 42 62 84 93 124 157 186 217 314 372 434 471 619 628 651 868 942 1099 1238 1302 1857 1884 2198 2476 2604 3297 3714 4333 4396 4867 6594 7428 8666 9734 12999 13188 14601 17332 19189 19468 25998 29202 34069 38378 51996 57567 58404 68138 76756 97183 102207 115134 134323 136276 194366 204414 230268 268646 291549 388732 402969 408828 537292 583098 680281 805938 1166196 1360562 1611876 2040843 2721124 3012673 4081686 6025346 8163372 9038019 12050692 18076038 21088711 36152076 42177422 63266133 84354844 126532266 253064532