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542102232 = 233753107569
BaseRepresentation
bin100000010011111…
…101001011011000
31101210001122110110
4200103331023120
52102234232412
6125443044320
716301535660
oct4023751330
91353048413
10542102232
11259003481
121316706a0
1388406769
1451dd51a0
15328d2d3c
hex204fd2d8

542102232 has 128 divisors (see below), whose sum is σ = 1595635200. Its totient is φ = 150279168.

The previous prime is 542102219. The next prime is 542102233. The reversal of 542102232 is 232201245.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 542102199 and 542102208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542102233) 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, 952444 + ... + 953012.

It is an arithmetic number, because the mean of its divisors is an integer number (12465900).

Almost surely, 2542102232 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 542102232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (797817600).

542102232 is an abundant number, since it is smaller than the sum of its proper divisors (1053532968).

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

542102232 is a wasteful number, since it uses less digits than its factorization.

542102232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 745 (or 741 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 542102232 is about 23283.0889703235. The cubic root of 542102232 is about 815.3806454572.

Adding to 542102232 its reverse (232201245), we get a palindrome (774303477).

The spelling of 542102232 in words is "five hundred forty-two million, one hundred two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 53 56 84 106 107 159 168 212 214 318 321 371 424 428 569 636 642 742 749 856 1113 1138 1272 1284 1484 1498 1707 2226 2247 2276 2568 2968 2996 3414 3983 4452 4494 4552 5671 5992 6828 7966 8904 8988 11342 11949 13656 15932 17013 17976 22684 23898 30157 31864 34026 39697 45368 47796 60314 60883 68052 79394 90471 95592 119091 120628 121766 136104 158788 180942 182649 211099 238182 241256 243532 317576 361884 365298 422198 426181 476364 487064 633297 723768 730596 844396 852362 952728 1266594 1278543 1461192 1688792 1704724 2533188 2557086 3226799 3409448 5066376 5114172 6453598 9680397 10228344 12907196 19360794 22587593 25814392 38721588 45175186 67762779 77443176 90350372 135525558 180700744 271051116 542102232