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542046440 = 235131983661
BaseRepresentation
bin100000010011101…
…111100011101000
31101202221210221002
4200103233203220
52102230441230
6125441534132
716301214215
oct4023574350
91352853832
10542046440
11258a75571
12131644348
13883b7250
1451dbcb0c
15328c1545
hex204ef8e8

542046440 has 128 divisors (see below), whose sum is σ = 1401321600. Its totient is φ = 187038720.

The previous prime is 542046437. The next prime is 542046443. The reversal of 542046440 is 44640245.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (542046437) and next prime (542046443).

It is not an unprimeable number, because it can be changed into a prime (542046443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 819710 + ... + 820370.

It is an arithmetic number, because the mean of its divisors is an integer number (10947825).

Almost surely, 2542046440 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 542046440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (700660800).

542046440 is an abundant number, since it is smaller than the sum of its proper divisors (859275160).

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

542046440 is a wasteful number, since it uses less digits than its factorization.

542046440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 787 (or 783 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 29.

The square root of 542046440 is about 23281.8908166841. The cubic root of 542046440 is about 815.3526720880.

Adding to 542046440 its reverse (44640245), we get a palindrome (586686685).

The spelling of 542046440 in words is "five hundred forty-two million, forty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 83 95 104 130 152 166 190 247 260 332 380 415 494 520 661 664 760 830 988 1079 1235 1322 1577 1660 1976 2158 2470 2644 3154 3305 3320 4316 4940 5288 5395 6308 6610 7885 8593 8632 9880 10790 12559 12616 13220 15770 17186 20501 21580 25118 26440 31540 34372 41002 42965 43160 50236 54863 62795 63080 68744 82004 85930 100472 102505 109726 125590 163267 164008 171860 205010 219452 251180 274315 326534 343720 410020 438904 502360 548630 653068 713219 816335 820040 1042397 1097260 1306136 1426438 1632670 2084794 2194520 2852876 3265340 3566095 4169588 5211985 5705752 6530680 7132190 8339176 10423970 13551161 14264380 20847940 27102322 28528760 41695880 54204644 67755805 108409288 135511610 271023220 542046440