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545624244 = 22321179107163
BaseRepresentation
bin100000100001011…
…001000010110100
31102000200120202100
4200201121002310
52104134433434
6130050342100
716343505144
oct4041310264
91360616670
10545624244
1125aa99630
1213288a930
138906a8a9
1452670924
1532d7b699
hex208590b4

545624244 has 144 divisors (see below), whose sum is σ = 1547320320. Its totient is φ = 160729920.

The previous prime is 545624227. The next prime is 545624251. The reversal of 545624244 is 442426545.

545624244 is a `hidden beast` number, since 5 + 4 + 5 + 624 + 24 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 545624199 and 545624208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3347307 + ... + 3347469.

It is an arithmetic number, because the mean of its divisors is an integer number (10745280).

Almost surely, 2545624244 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 545624244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (773660160).

545624244 is an abundant number, since it is smaller than the sum of its proper divisors (1001696076).

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

545624244 is a wasteful number, since it uses less digits than its factorization.

545624244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 365 counting only the distinct ones).

The product of its digits is 153600, while the sum is 36.

The square root of 545624244 is about 23358.6010711258. The cubic root of 545624244 is about 817.1426645790.

The spelling of 545624244 in words is "five hundred forty-five million, six hundred twenty-four thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 79 99 107 132 158 163 198 214 237 316 321 326 396 428 474 489 642 652 711 869 948 963 978 1177 1284 1422 1467 1738 1793 1926 1956 2354 2607 2844 2934 3476 3531 3586 3852 4708 5214 5379 5868 7062 7172 7821 8453 10428 10593 10758 12877 14124 15642 16137 16906 17441 21186 21516 25359 25754 31284 32274 33812 34882 38631 42372 50718 51508 52323 64548 69764 76077 77262 92983 101436 104646 115893 141647 152154 154524 156969 185966 191851 209292 231786 278949 283294 304308 313938 371932 383702 424941 463572 557898 566588 575553 627876 767404 836847 849882 1115796 1151106 1274823 1377839 1673694 1699764 1726659 2302212 2549646 2755678 3347388 3453318 4133517 5099292 5511356 6906636 8267034 12400551 15156229 16534068 24801102 30312458 45468687 49602204 60624916 90937374 136406061 181874748 272812122 545624244