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542436264 = 2335319001
BaseRepresentation
bin100000010101001…
…110101110101000
31101210200121200000
4200111032232220
52102330430024
6125454143000
716304426556
oct4025165650
91353617600
10542436264
11259211437
121317b1a60
13884c2806
1452080bd6
153294bcc9
hex2054eba8

542436264 has 96 divisors (see below), whose sum is σ = 1572829440. Its totient is φ = 174960000.

The previous prime is 542436253. The next prime is 542436277. The reversal of 542436264 is 462634245.

542436264 is a `hidden beast` number, since 5 + 4 + 24 + 3 + 626 + 4 = 666.

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

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 55764 + ... + 64764.

It is an arithmetic number, because the mean of its divisors is an integer number (16383640).

Almost surely, 2542436264 is an apocalyptic number.

542436264 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542436264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (786414720).

542436264 is an abundant number, since it is smaller than the sum of its proper divisors (1030393176).

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

542436264 is a wasteful number, since it uses less digits than its factorization.

542436264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9053 (or 9037 counting only the distinct ones).

The product of its digits is 138240, while the sum is 36.

The square root of 542436264 is about 23290.2611406571. The cubic root of 542436264 is about 815.5480845424.

The spelling of 542436264 in words is "five hundred forty-two million, four hundred thirty-six thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 243 248 279 324 372 486 558 648 744 837 972 1116 1674 1944 2232 2511 3348 5022 6696 7533 9001 10044 15066 18002 20088 27003 30132 36004 54006 60264 72008 81009 108012 162018 216024 243027 279031 324036 486054 558062 648072 729081 837093 972108 1116124 1458162 1674186 1944216 2187243 2232248 2511279 2916324 3348372 4374486 5022558 5832648 6696744 7533837 8748972 10045116 15067674 17497944 20090232 22601511 30135348 45203022 60270696 67804533 90406044 135609066 180812088 271218132 542436264