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390568542 = 237134173239
BaseRepresentation
bin10111010001111…
…001101001011110
31000012220221022120
4113101321221132
51244441143132
6102431123410
712451530540
oct2721715136
91005827276
10390568542
11190513a21
12aa973566
1362bbb760
1439c2b690
152444e02c
hex17479a5e

390568542 has 128 divisors (see below), whose sum is σ = 1002516480. Its totient is φ = 98703360.

The previous prime is 390568537. The next prime is 390568547. The reversal of 390568542 is 245865093.

It is an interprime number because it is at equal distance from previous prime (390568537) and next prime (390568547).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 390568494 and 390568503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (390568547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1634059 + ... + 1634297.

It is an arithmetic number, because the mean of its divisors is an integer number (7832160).

Almost surely, 2390568542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 390568542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501258240).

390568542 is an abundant number, since it is smaller than the sum of its proper divisors (611947938).

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

390568542 is a wasteful number, since it uses less digits than its factorization.

390568542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378.

The product of its (nonzero) digits is 259200, while the sum is 42.

The square root of 390568542 is about 19762.8070374631. The cubic root of 390568542 is about 730.9692148951.

The spelling of 390568542 in words is "three hundred ninety million, five hundred sixty-eight thousand, five hundred forty-two".

Divisors: 1 2 3 6 7 13 14 21 26 39 41 42 73 78 82 91 123 146 182 219 239 246 273 287 438 478 511 533 546 574 717 861 949 1022 1066 1434 1533 1599 1673 1722 1898 2847 2993 3066 3107 3198 3346 3731 5019 5694 5986 6214 6643 7462 8979 9321 9799 10038 11193 13286 17447 17958 18642 19598 19929 20951 21749 22386 29397 34894 38909 39858 41902 43498 52341 58794 62853 65247 68593 77818 104682 116727 122129 125706 127387 130494 137186 205779 226811 233454 244258 254774 272363 366387 382161 411558 453622 544726 680433 715327 732774 764322 817089 891709 1360866 1430654 1587677 1634178 1783418 2145981 2675127 3175354 4291962 4763031 5007289 5350254 9299251 9526062 10014578 15021867 18598502 27897753 30043734 55795506 65094757 130189514 195284271 390568542