Search a number
-
+
553102152 = 23329267409
BaseRepresentation
bin100000111101111…
…010101101001000
31102112202111111220
4200331322231020
52113043232102
6130514522040
716464201501
oct4075725510
91375674456
10553102152
11264236919
12135296320
138a7884a5
1453659ba8
15338571bc
hex20f7ab48

553102152 has 96 divisors (see below), whose sum is σ = 1457008800. Its totient is φ = 174924288.

The previous prime is 553102139. The next prime is 553102201. The reversal of 553102152 is 251201355.

It is a happy number.

553102152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×5531021523 (a number of 27 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1352124 + ... + 1352532.

It is an arithmetic number, because the mean of its divisors is an integer number (15177175).

Almost surely, 2553102152 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 553102152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (728504400).

553102152 is an abundant number, since it is smaller than the sum of its proper divisors (903906648).

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

553102152 is a wasteful number, since it uses less digits than its factorization.

553102152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 543 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 553102152 is about 23518.1239047676. The cubic root of 553102152 is about 820.8587830142.

The spelling of 553102152 in words is "five hundred fifty-three million, one hundred two thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 29 58 67 87 116 134 174 201 232 268 348 402 409 536 696 804 818 841 1227 1608 1636 1682 1943 2454 2523 3272 3364 3886 4908 5046 5829 6728 7772 9816 10092 11658 11861 15544 20184 23316 23722 27403 35583 46632 47444 54806 56347 71166 82209 94888 109612 112694 142332 164418 169041 219224 225388 284664 328836 338082 343969 450776 657672 676164 687938 794687 1031907 1352328 1375876 1589374 2063814 2384061 2751752 3178748 4127628 4768122 6357496 8255256 9536244 19072488 23045923 46091846 69137769 92183692 138275538 184367384 276551076 553102152