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554144992 = 2529259349
BaseRepresentation
bin100001000001111…
…001010011100000
31102121201111000121
4201001321103200
52113330114432
6130553130024
716506104032
oct4101712340
91377644017
10554144992
11264889375
121356b9914
138aa6205b
145384bc52
15339b1197
hex210794e0

554144992 has 72 divisors (see below), whose sum is σ = 1152333000. Its totient is φ = 262230528.

The previous prime is 554144951. The next prime is 554145001. The reversal of 554144992 is 299441455.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1587634 + ... + 1587982.

It is an arithmetic number, because the mean of its divisors is an integer number (16004625).

Almost surely, 2554144992 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 554144992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (576166500).

554144992 is an abundant number, since it is smaller than the sum of its proper divisors (598188008).

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

554144992 is a wasteful number, since it uses less digits than its factorization.

554144992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 439 counting only the distinct ones).

The product of its digits is 259200, while the sum is 43.

The square root of 554144992 is about 23540.2844502780. The cubic root of 554144992 is about 821.3743519975.

It can be divided in two parts, 55414 and 4992, that added together give a palindrome (60406).

The spelling of 554144992 in words is "five hundred fifty-four million, one hundred forty-four thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 29 32 58 59 116 118 232 236 349 464 472 698 841 928 944 1396 1682 1711 1888 2792 3364 3422 5584 6728 6844 10121 11168 13456 13688 20242 20591 26912 27376 40484 41182 49619 54752 80968 82364 99238 161936 164728 198476 293509 323872 329456 396952 587018 597139 658912 793904 1174036 1194278 1587808 2348072 2388556 4696144 4777112 9392288 9554224 17317031 19108448 34634062 69268124 138536248 277072496 554144992