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542244960 = 25325894231
BaseRepresentation
bin100000010100100…
…000000001100000
31101210022220020200
4200110200001200
52102303314320
6125450105200
716303002045
oct4024400140
91353286220
10542244960
112590a0734
1213171b200
138845670a
14520311cc
1532910290
hex20520060

542244960 has 144 divisors (see below), whose sum is σ = 1871644320. Its totient is φ = 142940160.

The previous prime is 542244947. The next prime is 542244973. The reversal of 542244960 is 69442245.

542244960 is a `hidden beast` number, since 542 + 24 + 4 + 96 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (542244947) and next prime (542244973).

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 126045 + ... + 130275.

It is an arithmetic number, because the mean of its divisors is an integer number (12997530).

Almost surely, 2542244960 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 542244960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (935822160).

542244960 is an abundant number, since it is smaller than the sum of its proper divisors (1329399360).

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

542244960 is a wasteful number, since it uses less digits than its factorization.

542244960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4341 (or 4330 counting only the distinct ones).

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

The square root of 542244960 is about 23286.1538258253. The cubic root of 542244960 is about 815.4521986501.

The spelling of 542244960 in words is "five hundred forty-two million, two hundred forty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 89 90 96 120 144 160 178 180 240 267 288 356 360 445 480 534 712 720 801 890 1068 1335 1424 1440 1602 1780 2136 2670 2848 3204 3560 4005 4231 4272 5340 6408 7120 8010 8462 8544 10680 12693 12816 14240 16020 16924 21155 21360 25386 25632 32040 33848 38079 42310 42720 50772 63465 64080 67696 76158 84620 101544 126930 128160 135392 152316 169240 190395 203088 253860 304632 338480 376559 380790 406176 507720 609264 676960 753118 761580 1015440 1129677 1218528 1506236 1523160 1882795 2030880 2259354 3012472 3046320 3389031 3765590 4518708 5648385 6024944 6092640 6778062 7531180 9037416 11296770 12049888 13556124 15062360 16945155 18074832 22593540 27112248 30124720 33890310 36149664 45187080 54224496 60249440 67780620 90374160 108448992 135561240 180748320 271122480 542244960