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552872016 = 243217322193
BaseRepresentation
bin100000111101000…
…010100001010000
31102112022210211100
4200331002201100
52113013401031
6130505544400
716462222524
oct4075024120
91375283740
10552872016
11264099a24
121351a5100
138a707808
14535d9d84
153380dde6
hex20f42850

552872016 has 60 divisors (see below), whose sum is σ = 1556287668. Its totient is φ = 183217152.

The previous prime is 552872009. The next prime is 552872053. The reversal of 552872016 is 610278255.

It is a happy number.

552872016 is a `hidden beast` number, since 552 + 87 + 20 + 1 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 514382400 + 38489616 = 22680^2 + 6204^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13816 + ... + 36008.

Almost surely, 2552872016 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 552872016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778143834).

552872016 is an abundant number, since it is smaller than the sum of its proper divisors (1003415652).

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

552872016 is a wasteful number, since it uses less digits than its factorization.

552872016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22380 (or 22371 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 552872016 is about 23513.2306585037. The cubic root of 552872016 is about 820.7449189580.

The spelling of 552872016 in words is "five hundred fifty-two million, eight hundred seventy-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 173 346 519 692 1038 1384 1557 2076 2768 3114 4152 6228 8304 12456 22193 24912 44386 66579 88772 133158 177544 199737 266316 355088 399474 532632 798948 1065264 1597896 3195792 3839389 7678778 11518167 15357556 23036334 30715112 34554501 46072668 61430224 69109002 92145336 138218004 184290672 276436008 552872016