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3049578252 = 22327173122963
BaseRepresentation
bin1011010111000100…
…1101111100001100
321212112022121220200
42311301031330030
522221143001002
61222335013500
7135366662460
oct26561157414
97775277820
103049578252
111325453306
1271136a290
13397a52996
1420d0304a0
1512cad8b1c
hexb5c4df0c

3049578252 has 144 divisors (see below), whose sum is σ = 9629448192. Its totient is φ = 793566720.

The previous prime is 3049578239. The next prime is 3049578263. The reversal of 3049578252 is 2528759403.

3049578252 is a `hidden beast` number, since 30 + 49 + 578 + 2 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3049578198 and 3049578207.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 121323 + ... + 144285.

It is an arithmetic number, because the mean of its divisors is an integer number (66871168).

Almost surely, 23049578252 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 3049578252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4814724096).

3049578252 is an abundant number, since it is smaller than the sum of its proper divisors (6579869940).

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

3049578252 is a wasteful number, since it uses less digits than its factorization.

3049578252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23028 (or 23023 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The square root of 3049578252 is about 55222.9866269473. The cubic root of 3049578252 is about 1450.1511141755.

The spelling of 3049578252 in words is "three billion, forty-nine million, five hundred seventy-eight thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 31 34 36 42 51 62 63 68 84 93 102 119 124 126 153 186 204 217 238 252 279 306 357 372 434 476 527 558 612 651 714 868 1054 1071 1116 1302 1428 1581 1953 2108 2142 2604 3162 3689 3906 4284 4743 6324 7378 7812 9486 11067 14756 18972 22134 22963 33201 44268 45926 66402 68889 91852 132804 137778 160741 206667 275556 321482 390371 413334 482223 642964 711853 780742 826668 964446 1171113 1423706 1446669 1561484 1928892 2135559 2342226 2732597 2847412 2893338 3513339 4271118 4684452 4982971 5465194 5786676 6406677 7026678 8197791 8542236 9965942 10930388 12101501 12813354 14053356 14948913 16395582 19931884 24203002 24593373 25626708 29897826 32791164 36304503 44846739 48406004 49186746 59795652 72609006 84710507 89693478 98373492 108913509 145218012 169421014 179386956 217827018 254131521 338842028 435654036 508263042 762394563 1016526084 1524789126 3049578252