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542157088 = 251129173307
BaseRepresentation
bin100000010100001…
…010100100100000
31101210011102201011
4200110022210200
52102243011323
6125444150304
716302154624
oct4024124440
91353142634
10542157088
11259040710
12131698394
1388425715
145200b184
15328e420d
hex2050a920

542157088 has 96 divisors (see below), whose sum is σ = 1215466560. Its totient is φ = 235791360.

The previous prime is 542157073. The next prime is 542157103. The reversal of 542157088 is 880751245.

It is an interprime number because it is at equal distance from previous prime (542157073) and next prime (542157103).

It is a self number, because there is not a number n which added to its sum of digits gives 542157088.

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, 1765831 + ... + 1766137.

It is an arithmetic number, because the mean of its divisors is an integer number (12661110).

Almost surely, 2542157088 is an apocalyptic number.

542157088 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542157088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (607733280).

542157088 is an abundant number, since it is smaller than the sum of its proper divisors (673309472).

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

542157088 is a wasteful number, since it uses less digits than its factorization.

542157088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 89600, while the sum is 40.

The square root of 542157088 is about 23284.2669629087. The cubic root of 542157088 is about 815.4081476572.

The spelling of 542157088 in words is "five hundred forty-two million, one hundred fifty-seven thousand, eighty-eight".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 173 176 232 307 319 346 352 464 614 638 692 928 1228 1276 1384 1903 2456 2552 2768 3377 3806 4912 5017 5104 5536 6754 7612 8903 9824 10034 10208 13508 15224 17806 20068 27016 30448 35612 40136 53111 54032 55187 60896 71224 80272 97933 106222 108064 110374 142448 160544 195866 212444 220748 284896 391732 424888 441496 584221 783464 849776 882992 1168442 1540219 1566928 1699552 1765984 2336884 3080438 3133856 4673768 6160876 9347536 12321752 16942409 18695072 24643504 33884818 49287008 67769636 135539272 271078544 542157088