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542500512 = 25337163937
BaseRepresentation
bin100000010101011…
…110011010100000
31101210210212210120
4200111132122200
52102340004022
6125455400240
716305115101
oct4025363240
91353725716
10542500512
11259255734
12131823080
1388515b28
145209a3a8
1532960d5c
hex2055e6a0

542500512 has 96 divisors (see below), whose sum is σ = 1473095232. Its totient is φ = 174680064.

The previous prime is 542500487. The next prime is 542500573. The reversal of 542500512 is 215005245.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 578508 + ... + 579444.

It is an arithmetic number, because the mean of its divisors is an integer number (15344742).

Almost surely, 2542500512 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 542500512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (736547616).

542500512 is an abundant number, since it is smaller than the sum of its proper divisors (930594720).

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

542500512 is a wasteful number, since it uses less digits than its factorization.

542500512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1150 (or 1142 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

The square root of 542500512 is about 23291.6403887747. The cubic root of 542500512 is about 815.5802820362.

Adding to 542500512 its reverse (215005245), we get a palindrome (757505757).

The spelling of 542500512 in words is "five hundred forty-two million, five hundred thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 74 96 111 148 163 222 296 326 444 489 592 652 888 937 978 1184 1304 1776 1874 1956 2608 2811 3552 3748 3912 5216 5622 6031 7496 7824 11244 12062 14992 15648 18093 22488 24124 29984 34669 36186 44976 48248 69338 72372 89952 96496 104007 138676 144744 152731 192992 208014 277352 289488 305462 416028 458193 554704 578976 610924 832056 916386 1109408 1221848 1664112 1832772 2443696 3328224 3665544 4887392 5651047 7331088 11302094 14662176 16953141 22604188 33906282 45208376 67812564 90416752 135625128 180833504 271250256 542500512