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542944960 = 26529411427
BaseRepresentation
bin100000010111001…
…010111011000000
31101211122110110121
4200113022323000
52102443214320
6125513110024
716311645625
oct4027127300
91354573417
10542944960
11259529648
121319b8314
138864020c
145217434c
15329ec8aa
hex205caec0

542944960 has 112 divisors (see below), whose sum is σ = 1371051360. Its totient is φ = 204431360.

The previous prime is 542944951. The next prime is 542945003. The reversal of 542944960 is 69449245.

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, 379767 + ... + 381193.

It is an arithmetic number, because the mean of its divisors is an integer number (12241530).

Almost surely, 2542944960 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 542944960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (685525680).

542944960 is an abundant number, since it is smaller than the sum of its proper divisors (828106400).

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

542944960 is a wasteful number, since it uses less digits than its factorization.

542944960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1504 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The square root of 542944960 is about 23301.1793692937. The cubic root of 542944960 is about 815.8029448560.

The spelling of 542944960 in words is "five hundred forty-two million, nine hundred forty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 41 58 64 80 82 116 145 160 164 205 232 290 320 328 410 464 580 656 820 928 1160 1189 1312 1427 1640 1856 2320 2378 2624 2854 3280 4640 4756 5708 5945 6560 7135 9280 9512 11416 11890 13120 14270 19024 22832 23780 28540 38048 41383 45664 47560 57080 58507 76096 82766 91328 95120 114160 117014 165532 190240 206915 228320 234028 292535 331064 380480 413830 456640 468056 585070 662128 827660 936112 1170140 1324256 1655320 1696703 1872224 2340280 2648512 3310640 3393406 3744448 4680560 6621280 6786812 8483515 9361120 13242560 13573624 16967030 18722240 27147248 33934060 54294496 67868120 108588992 135736240 271472480 542944960