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3676484448 = 2532713140281
BaseRepresentation
bin1101101100100010…
…1011001101100000
3100111012221202112200
43123020223031200
530012140000243
61404451453200
7160051413360
oct33310531540
910435852480
103676484448
1116173091aa
128672b7200
134678ac2b0
1426c3bc9a0
15167b6dad3
hexdb22b360

3676484448 has 144 divisors (see below), whose sum is σ = 12867787296. Its totient is φ = 969615360.

The previous prime is 3676484437. The next prime is 3676484479. The reversal of 3676484448 is 8444846763.

3676484448 is a `hidden beast` number, since 3 + 67 + 64 + 84 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 3676484394 and 3676484403.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43933 + ... + 96348.

It is an arithmetic number, because the mean of its divisors is an integer number (89359634).

Almost surely, 23676484448 is an apocalyptic number.

It is an amenable number.

3676484448 is an abundant number, since it is smaller than the sum of its proper divisors (9191302848).

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

3676484448 is a wasteful number, since it uses less digits than its factorization.

3676484448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140317 (or 140306 counting only the distinct ones).

The product of its digits is 12386304, while the sum is 54.

The square root of 3676484448 is about 60634.0205495232. The cubic root of 3676484448 is about 1543.3967369528.

The spelling of 3676484448 in words is "three billion, six hundred seventy-six million, four hundred eighty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 13104 26208 140281 280562 420843 561124 841686 981967 1122248 1262529 1683372 1823653 1963934 2244496 2525058 2945901 3366744 3647306 3927868 4488992 5050116 5470959 5891802 6733488 7294612 7855736 8837703 10100232 10941918 11783604 12765571 13466976 14589224 15711472 16412877 17675406 20200464 21883836 23567208 25531142 29178448 31422944 32825754 35350812 38296713 40400928 43767672 47134416 51062284 58356896 65651508 70701624 76593426 87535344 94268832 102124568 114890139 131303016 141403248 153186852 175070688 204249136 229780278 262606032 282806496 306373704 408498272 459560556 525212064 612747408 919121112 1225494816 1838242224 3676484448