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542111232 = 29313171597
BaseRepresentation
bin100000010011111…
…111011000000000
31101210002002210210
4200103333120000
52102240024412
6125443154120
716301604135
oct4023773000
91353062723
10542111232
1125900a213
12131675940
138840a8a0
1451dd858c
15328d583c
hex204ff600

542111232 has 160 divisors (see below), whose sum is σ = 1647832032. Its totient is φ = 156893184.

The previous prime is 542111221. The next prime is 542111233. The reversal of 542111232 is 232111245.

It is a junction number, because it is equal to n+sod(n) for n = 542111199 and 542111208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542111233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 338658 + ... + 340254.

Almost surely, 2542111232 is an apocalyptic number.

542111232 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 542111232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (823916016).

542111232 is an abundant number, since it is smaller than the sum of its proper divisors (1105720800).

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

542111232 is a wasteful number, since it uses less digits than its factorization.

542111232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1648 (or 1632 counting only the distinct ones).

The product of its digits is 480, while the sum is 21.

The square root of 542111232 is about 23283.2822428454. The cubic root of 542111232 is about 815.3851577581.

Adding to 542111232 its reverse (232111245), we get a palindrome (774222477).

It can be divided in two parts, 5421 and 11232, that added together give a triangular number (16653 = T182).

The spelling of 542111232 in words is "five hundred forty-two million, one hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 64 68 78 96 102 104 128 136 156 192 204 208 221 256 272 312 384 408 416 442 512 544 624 663 768 816 832 884 1088 1248 1326 1536 1597 1632 1664 1768 2176 2496 2652 3194 3264 3328 3536 4352 4791 4992 5304 6388 6528 6656 7072 8704 9582 9984 10608 12776 13056 14144 19164 19968 20761 21216 25552 26112 27149 28288 38328 41522 42432 51104 54298 56576 62283 76656 81447 83044 84864 102208 108596 113152 124566 153312 162894 166088 169728 204416 217192 249132 306624 325788 332176 339456 352937 408832 434384 498264 613248 651576 664352 705874 817664 868768 996528 1058811 1226496 1303152 1328704 1411748 1737536 1993056 2117622 2452992 2606304 2657408 2823496 3475072 3986112 4235244 5212608 5314816 5646992 6950144 7972224 8470488 10425216 10629632 11293984 13900288 15944448 16940976 20850432 22587968 31888896 33881952 41700864 45175936 67763904 90351872 135527808 180703744 271055616 542111232