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553416192 = 2933721943
BaseRepresentation
bin100000111111000…
…111011000000000
31102120100110022000
4200333013120000
52113133304232
6130525344000
716466650200
oct4077073000
91376313260
10553416192
1126443085a
12135408000
138a868404
14536dc400
15338ba27c
hex20fc7600

553416192 has 480 divisors, whose sum is σ = 2052547200. Its totient is φ = 146313216.

The previous prime is 553416187. The next prime is 553416203. The reversal of 553416192 is 291614355.

553416192 is a `hidden beast` number, since 5 + 5 + 34 + 1 + 619 + 2 = 666.

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

It is a taxicab number since it can be written as a sum of two cubes in more than one way. Here 553416192 = 2163 + 8163 = 3843 + 7923.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12870123 + ... + 12870165.

It is an arithmetic number, because the mean of its divisors is an integer number (4276140).

Almost surely, 2553416192 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 553416192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1026273600).

553416192 is an abundant number, since it is smaller than the sum of its proper divisors (1499131008).

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

553416192 is a wasteful number, since it uses less digits than its factorization.

553416192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 74 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 553416192 is about 23524.7995103040. The cubic root of 553416192 is about 821.0141091861.

The spelling of 553416192 in words is "five hundred fifty-three million, four hundred sixteen thousand, one hundred ninety-two".