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542092992 = 26371492707
BaseRepresentation
bin100000010011111…
…010111011000000
31101210001011210020
4200103322323000
52102233433432
6125442533440
716301500020
oct4023727300
91353034706
10542092992
11258aa7541
12131667280
13884024ac
1451dd1a80
15328d022c
hex204faec0

542092992 has 112 divisors (see below), whose sum is σ = 1650796800. Its totient is φ = 153787392.

The previous prime is 542092987. The next prime is 542092997. The reversal of 542092992 is 299290245.

It is an interprime number because it is at equal distance from previous prime (542092987) and next prime (542092997).

It is a tau number, because it is divible by the number of its divisors (112).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (542092997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198903 + ... + 201609.

Almost surely, 2542092992 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 542092992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (825398400).

542092992 is an abundant number, since it is smaller than the sum of its proper divisors (1108703808).

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

542092992 is a wasteful number, since it uses less digits than its factorization.

542092992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878 (or 2868 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The square root of 542092992 is about 23282.8905421986. The cubic root of 542092992 is about 815.3760127763.

The spelling of 542092992 in words is "five hundred forty-two million, ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 149 168 192 224 298 336 447 448 596 672 894 1043 1192 1344 1788 2086 2384 2707 3129 3576 4172 4768 5414 6258 7152 8121 8344 9536 10828 12516 14304 16242 16688 18949 21656 25032 28608 32484 33376 37898 43312 50064 56847 64968 66752 75796 86624 100128 113694 129936 151592 173248 200256 227388 259872 303184 403343 454776 519744 606368 806686 909552 1210029 1212736 1613372 1819104 2420058 2823401 3226744 3638208 4840116 5646802 6453488 8470203 9680232 11293604 12906976 16940406 19360464 22587208 25813952 33880812 38720928 45174416 67761624 77441856 90348832 135523248 180697664 271046496 542092992