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542393592 = 2331341109389
BaseRepresentation
bin100000010101000…
…100010011111000
31101210121110010120
4200111010103320
52102323043332
6125453213240
716304161266
oct4025042370
91353543116
10542393592
11259192374
12131791220
13884a9270
145206d436
153293e32c
hex205444f8

542393592 has 128 divisors (see below), whose sum is σ = 1513512000. Its totient is φ = 160911360.

The previous prime is 542393569. The next prime is 542393597. The reversal of 542393592 is 295393245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542393597) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1394134 + ... + 1394522.

Almost surely, 2542393592 is an apocalyptic number.

542393592 is a gapful number since it is divisible by the number (52) 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 542393592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (756756000).

542393592 is an abundant number, since it is smaller than the sum of its proper divisors (971118408).

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

542393592 is a wasteful number, since it uses less digits than its factorization.

542393592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561 (or 557 counting only the distinct ones).

The product of its digits is 291600, while the sum is 42.

The square root of 542393592 is about 23289.3450315804. The cubic root of 542393592 is about 815.5266983245.

The spelling of 542393592 in words is "five hundred forty-two million, three hundred ninety-three thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 109 123 156 164 218 246 312 327 328 389 436 492 533 654 778 872 984 1066 1167 1308 1417 1556 1599 2132 2334 2616 2834 3112 3198 4251 4264 4469 4668 5057 5668 6396 8502 8938 9336 10114 11336 12792 13407 15171 15949 17004 17876 20228 26814 30342 31898 34008 35752 40456 42401 47847 53628 58097 60684 63796 84802 95694 107256 116194 121368 127203 127592 169604 174291 191388 207337 232388 254406 339208 348582 382776 414674 464776 508812 551213 622011 697164 829348 1017624 1102426 1244022 1394328 1653639 1658696 1738441 2204852 2488044 3307278 3476882 4409704 4976088 5215323 6614556 6953764 10430646 13229112 13907528 20861292 22599733 41722584 45199466 67799199 90398932 135598398 180797864 271196796 542393592