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553968150 = 235229347367
BaseRepresentation
bin100001000001001…
…110001000010110
31102121101111102220
4201001032020112
52113303440100
6130545243210
716504436331
oct4101161026
91377344386
10553968150
1126477851a
12135633506
138a9cc708
1453803618
1533978aa0
hex2104e216

553968150 has 96 divisors (see below), whose sum is σ = 1429194240. Its totient is φ = 141832320.

The previous prime is 553968119. The next prime is 553968157. The reversal of 553968150 is 51869355.

553968150 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×5539681502 = 613761422428845000, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553968157) 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, 1509267 + ... + 1509633.

It is an arithmetic number, because the mean of its divisors is an integer number (14887440).

Almost surely, 2553968150 is an apocalyptic number.

553968150 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 553968150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (714597120).

553968150 is an abundant number, since it is smaller than the sum of its proper divisors (875226090).

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

553968150 is a wasteful number, since it uses less digits than its factorization.

553968150 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 758 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 162000, while the sum is 42.

The square root of 553968150 is about 23536.5279937377. The cubic root of 553968150 is about 821.2869687678.

It can be divided in two parts, 55396 and 8150, that added together give a triangular number (63546 = T356).

The spelling of 553968150 in words is "five hundred fifty-three million, nine hundred sixty-eight thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 145 150 174 290 347 367 435 694 725 734 870 1041 1101 1450 1735 1835 2082 2175 2202 3470 3670 4350 5205 5505 8675 9175 10063 10410 10643 11010 17350 18350 20126 21286 26025 27525 30189 31929 50315 52050 53215 55050 60378 63858 100630 106430 127349 150945 159645 251575 254698 266075 301890 319290 382047 503150 532150 636745 754725 764094 798225 1273490 1509450 1596450 1910235 3183725 3693121 3820470 6367450 7386242 9551175 11079363 18465605 19102350 22158726 36931210 55396815 92328025 110793630 184656050 276984075 553968150