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542294640 = 24325753187
BaseRepresentation
bin100000010100101…
…100001001110000
31101210102102101200
4200110230021300
52102311412030
6125451131200
716303266636
oct4024541160
91353372350
10542294640
11259124a98
12131743b00
1388473204
1452045356
153291ed60
hex2052c270

542294640 has 60 divisors (see below), whose sum is σ = 1821208584. Its totient is φ = 144611712.

The previous prime is 542294639. The next prime is 542294647. The reversal of 542294640 is 46492245.

542294640 is a `hidden beast` number, since 5 + 4 + 2 + 2 + 9 + 4 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

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

It is a junction number, because it is equal to n+sod(n) for n = 542294595 and 542294604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542294647) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 375874 + ... + 377313.

Almost surely, 2542294640 is an apocalyptic number.

It is an amenable number.

542294640 is an abundant number, since it is smaller than the sum of its proper divisors (1278913944).

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

542294640 is a wasteful number, since it uses less digits than its factorization.

542294640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 753206 (or 753197 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 542294640 is about 23287.2205297240. The cubic root of 542294640 is about 815.4771015575.

The spelling of 542294640 in words is "five hundred forty-two million, two hundred ninety-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 753187 1506374 2259561 3012748 3765935 4519122 6025496 6778683 7531870 9038244 11297805 12050992 13557366 15063740 18076488 22595610 27114732 30127480 33893415 36152976 45191220 54229464 60254960 67786830 90382440 108458928 135573660 180764880 271147320 542294640