Search a number
-
+
1985429628 = 2232721386579
BaseRepresentation
bin111011001010111…
…0100000001111100
312010100221021102200
41312111310001330
513031232222003
6525002351500
7100125605400
oct16625640174
95110837380
101985429628
119297a5736
12474abb590
13258445440
1414b985100
15b94856a3
hex7657407c

1985429628 has 108 divisors (see below), whose sum is σ = 6287266440. Its totient is φ = 523623744.

The previous prime is 1985429617. The next prime is 1985429653. The reversal of 1985429628 is 8269245891.

It is a happy number.

1985429628 is a `hidden beast` number, since 1 + 9 + 8 + 5 + 4 + 2 + 9 + 628 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20358 + ... + 66221.

It is an arithmetic number, because the mean of its divisors is an integer number (58215430).

Almost surely, 21985429628 is an apocalyptic number.

1985429628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1985429628 is an abundant number, since it is smaller than the sum of its proper divisors (4301836812).

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

1985429628 is a wasteful number, since it uses less digits than its factorization.

1985429628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86616 (or 86604 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 54.

The square root of 1985429628 is about 44558.1600607565. The cubic root of 1985429628 is about 1256.8540033936.

The spelling of 1985429628 in words is "one billion, nine hundred eighty-five million, four hundred twenty-nine thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 49 52 63 78 84 91 98 117 126 147 156 182 196 234 252 273 294 364 441 468 546 588 637 819 882 1092 1274 1638 1764 1911 2548 3276 3822 5733 7644 11466 22932 86579 173158 259737 346316 519474 606053 779211 1038948 1125527 1212106 1558422 1818159 2251054 2424212 3116844 3376581 3636318 4242371 4502108 5454477 6753162 7272636 7878689 8484742 10129743 10908954 12727113 13506324 15757378 16969484 20259486 21817908 23636067 25454226 31514756 38181339 40518972 47272134 50908452 55150823 70908201 76362678 94544268 110301646 141816402 152725356 165452469 220603292 283632804 330904938 496357407 661809876 992714814 1985429628