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542908880 = 245411031607
BaseRepresentation
bin100000010111000…
…010000111010000
31101211120121222022
4200113002013100
52102441041010
6125512231012
716311435503
oct4027020720
91354517868
10542908880
11259504528
1213199b468
1388629977
145216513a
15329e1d55
hex205c21d0

542908880 has 80 divisors (see below), whose sum is σ = 1306416384. Its totient is φ = 209679360.

The previous prime is 542908867. The next prime is 542908897. The reversal of 542908880 is 88809245.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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, 337037 + ... + 338643.

Almost surely, 2542908880 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 542908880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (653208192).

542908880 is an abundant number, since it is smaller than the sum of its proper divisors (763507504).

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

542908880 is a wasteful number, since it uses less digits than its factorization.

542908880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 1758 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 44.

The square root of 542908880 is about 23300.4051466922. The cubic root of 542908880 is about 815.7848737656.

The spelling of 542908880 in words is "five hundred forty-two million, nine hundred eight thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 80 82 103 164 205 206 328 410 412 515 656 820 824 1030 1607 1640 1648 2060 3214 3280 4120 4223 6428 8035 8240 8446 12856 16070 16892 21115 25712 32140 33784 42230 64280 65887 67568 84460 128560 131774 165521 168920 263548 329435 331042 337840 527096 658870 662084 827605 1054192 1317740 1324168 1655210 2635480 2648336 3310420 5270960 6620840 6786361 13241680 13572722 27145444 33931805 54290888 67863610 108581776 135727220 271454440 542908880