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542762640 = 24335735897
BaseRepresentation
bin100000010110011…
…110011010010000
31101211022012101000
4200112132122100
52102421401030
6125505142000
716310256240
oct4026363220
91354265330
10542762640
11259414672
1213192a900
13885a8234
1452127b20
15329b3860
hex2059e690

542762640 has 160 divisors (see below), whose sum is σ = 2136648960. Its totient is φ = 124056576.

The previous prime is 542762639. The next prime is 542762677. The reversal of 542762640 is 46267245.

542762640 is a `hidden beast` number, since 5 + 4 + 2 + 7 + 6 + 2 + 640 = 666.

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 = 542762595 and 542762604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2829 + ... + 33068.

It is an arithmetic number, because the mean of its divisors is an integer number (13354056).

Almost surely, 2542762640 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 542762640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1068324480).

542762640 is an abundant number, since it is smaller than the sum of its proper divisors (1593886320).

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

542762640 is a wasteful number, since it uses less digits than its factorization.

542762640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35926 (or 35914 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 542762640 is about 23297.2667924802. The cubic root of 542762640 is about 815.7116195495.

The spelling of 542762640 in words is "five hundred forty-two million, seven hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 3024 3780 5040 7560 15120 35897 71794 107691 143588 179485 215382 251279 287176 323073 358970 430764 502558 538455 574352 646146 717940 753837 861528 969219 1005116 1076910 1256395 1292292 1435880 1507674 1615365 1723056 1938438 2010232 2153820 2261511 2512790 2584584 2871760 3015348 3230730 3769185 3876876 4020464 4307640 4523022 4846095 5025580 5169168 6030696 6461460 6784533 7538370 7753752 8615280 9046044 9692190 10051160 11307555 12061392 12922920 13569066 15076740 15507504 18092088 19384380 20102320 22615110 25845840 27138132 30153480 33922665 36184176 38768760 45230220 54276264 60306960 67845330 77537520 90460440 108552528 135690660 180920880 271381320 542762640