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554426064 = 243210735983
BaseRepresentation
bin100001000010111…
…101111011010000
31102122020202120200
4201002331323100
52113413113224
6131003135200
716511354343
oct4102757320
91378222520
10554426064
11264a60565
12135814500
138ab2cc7a
14538c245a
1533a195c9
hex210bded0

554426064 has 60 divisors (see below), whose sum is σ = 1566167616. Its totient is φ = 183076416.

The previous prime is 554426051. The next prime is 554426069. The reversal of 554426064 is 460624455.

554426064 is a `hidden beast` number, since 5 + 5 + 4 + 42 + 606 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (554426069) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2584 + ... + 33399.

Almost surely, 2554426064 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 554426064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (783083808).

554426064 is an abundant number, since it is smaller than the sum of its proper divisors (1011741552).

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

554426064 is a wasteful number, since it uses less digits than its factorization.

554426064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36104 (or 36095 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 554426064 is about 23546.2537147632. The cubic root of 554426064 is about 821.5132003213.

The spelling of 554426064 in words is "five hundred fifty-four million, four hundred twenty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 107 144 214 321 428 642 856 963 1284 1712 1926 2568 3852 5136 7704 15408 35983 71966 107949 143932 215898 287864 323847 431796 575728 647694 863592 1295388 1727184 2590776 3850181 5181552 7700362 11550543 15400724 23101086 30801448 34651629 46202172 61602896 69303258 92404344 138606516 184808688 277213032 554426064