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553115472 = 243713139911
BaseRepresentation
bin100000111101111…
…101111101010000
31102112210011210020
4200331331331100
52113044143342
6130515103440
716464255360
oct4075757520
91375704706
10553115472
11264245928
121352a1b80
138a791580
14536609a0
153385b0ec
hex20f7df50

553115472 has 160 divisors (see below), whose sum is σ = 1773219840. Its totient is φ = 144668160.

The previous prime is 553115471. The next prime is 553115483. The reversal of 553115472 is 274511355.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553115471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 606697 + ... + 607607.

It is an arithmetic number, because the mean of its divisors is an integer number (11082624).

Almost surely, 2553115472 is an apocalyptic number.

553115472 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553115472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (886609920).

553115472 is an abundant number, since it is smaller than the sum of its proper divisors (1220104368).

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

553115472 is a wasteful number, since it uses less digits than its factorization.

553115472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1075 counting only the distinct ones).

The product of its digits is 21000, while the sum is 33.

The square root of 553115472 is about 23518.4070889165. The cubic root of 553115472 is about 820.8653723644.

The spelling of 553115472 in words is "five hundred fifty-three million, one hundred fifteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 139 156 168 182 208 273 278 312 336 364 417 546 556 624 728 834 911 973 1092 1112 1456 1668 1807 1822 1946 2184 2224 2733 2919 3336 3614 3644 3892 4368 5421 5466 5838 6377 6672 7228 7288 7784 10842 10932 11676 11843 12649 12754 14456 14576 15568 19131 21684 21864 23352 23686 25298 25508 28912 35529 37947 38262 43368 43728 46704 47372 50596 51016 71058 75894 76524 82901 86736 94744 101192 102032 126629 142116 151788 153048 165802 189488 202384 248703 253258 284232 303576 306096 331604 379887 497406 506516 568464 607152 663208 759774 886403 994812 1013032 1326416 1519548 1646177 1772806 1989624 2026064 2659209 3039096 3292354 3545612 3979248 4938531 5318418 6078192 6584708 7091224 9877062 10636836 11523239 13169416 14182448 19754124 21273672 23046478 26338832 34569717 39508248 42547344 46092956 69139434 79016496 92185912 138278868 184371824 276557736 553115472