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542935872 = 2639431
BaseRepresentation
bin100000010111001…
…000101101000000
31101211122000000000
4200113020231000
52102442421442
6125513000000
716311610263
oct4027105500
91354560000
10542935872
11259522836
121319b3000
138863903b
1452170cda
15329e9d4c
hex205c8b40

542935872 has 140 divisors (see below), whose sum is σ = 1619804736. Its totient is φ = 180558720.

The previous prime is 542935859. The next prime is 542935889. The reversal of 542935872 is 278539245.

542935872 is a `hidden beast` number, since 542 + 9 + 35 + 8 + 72 = 666.

It is a super-2 number, since 2×5429358722 = 589558722208800768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1259497 + ... + 1259927.

Almost surely, 2542935872 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 542935872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809902368).

542935872 is an abundant number, since it is smaller than the sum of its proper divisors (1076868864).

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

542935872 is an frugal number, since it uses more digits than its factorization.

542935872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 436 counting only the distinct ones).

The product of its digits is 604800, while the sum is 45.

The square root of 542935872 is about 23300.9843568893. The cubic root of 542935872 is about 815.7983931002.

The spelling of 542935872 in words is "five hundred forty-two million, nine hundred thirty-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 431 432 486 576 648 729 862 864 972 1293 1296 1458 1724 1728 1944 2187 2586 2592 2916 3448 3879 3888 4374 5172 5184 5832 6561 6896 7758 7776 8748 10344 11637 11664 13122 13792 15516 15552 17496 19683 20688 23274 23328 26244 27584 31032 34911 34992 39366 41376 46548 46656 52488 62064 69822 69984 78732 82752 93096 104733 104976 124128 139644 139968 157464 186192 209466 209952 248256 279288 314199 314928 372384 418932 419904 558576 628398 629856 744768 837864 942597 1117152 1256796 1259712 1675728 1885194 2234304 2513592 2827791 3351456 3770388 5027184 5655582 6702912 7540776 8483373 10054368 11311164 15081552 16966746 20108736 22622328 30163104 33933492 45244656 60326208 67866984 90489312 135733968 180978624 271467936 542935872