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553048048 = 24719293887
BaseRepresentation
bin100000111101101…
…101011111110000
31102112122202022001
4200331231133300
52113040014143
6130513423344
716463554660
oct4075553760
91375582261
10553048048
112641aa203
1213526ab54
138a769987
14536441a0
153384614d
hex20f6d7f0

553048048 has 80 divisors (see below), whose sum is σ = 1294917120. Its totient is φ = 223527168.

The previous prime is 553048037. The next prime is 553048109. The reversal of 553048048 is 840840355.

It is a happy number.

It is a super-2 number, since 2×5530480482 = 611724286793220608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 553047998 and 553048016.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 623061 + ... + 623947.

It is an arithmetic number, because the mean of its divisors is an integer number (16186464).

Almost surely, 2553048048 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 553048048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647458560).

553048048 is an abundant number, since it is smaller than the sum of its proper divisors (741869072).

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

553048048 is a wasteful number, since it uses less digits than its factorization.

553048048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1214 (or 1208 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 37.

The square root of 553048048 is about 23516.9736148170. The cubic root of 553048048 is about 820.8320168966.

The spelling of 553048048 in words is "five hundred fifty-three million, forty-eight thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 112 133 152 266 293 304 532 586 887 1064 1172 1774 2051 2128 2344 3548 4102 4688 5567 6209 7096 8204 11134 12418 14192 16408 16853 22268 24836 32816 33706 38969 44536 49672 67412 77938 89072 99344 117971 134824 155876 235942 259891 269648 311752 471884 519782 623504 943768 1039564 1819237 1887536 2079128 3638474 4158256 4937929 7276948 9875858 14553896 19751716 29107792 34565503 39503432 69131006 79006864 138262012 276524024 553048048