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580685376 = 26347229281
BaseRepresentation
bin100010100111001…
…000111001000000
31111110122212120210
4202213020321000
52142123413001
6133342034120
720250513165
oct4247107100
91443585523
10580685376
11278866577
12142578940
13933c541b
145719a06c
1535ea4dd6
hex229c8e40

580685376 has 112 divisors (see below), whose sum is σ = 1581546240. Its totient is φ = 187944960.

The previous prime is 580685341. The next prime is 580685377. The reversal of 580685376 is 673586085.

It is a super-2 number, since 2×5806853762 = 674391011800522752, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (580685377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2066356 + ... + 2066636.

Almost surely, 2580685376 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 580685376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790773120).

580685376 is an abundant number, since it is smaller than the sum of its proper divisors (1000860864).

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

580685376 is a wasteful number, since it uses less digits than its factorization.

580685376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572 (or 562 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The square root of 580685376 is about 24097.4143011237. The cubic root of 580685376 is about 834.2834523525.

The spelling of 580685376 in words is "five hundred eighty million, six hundred eighty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 64 94 96 141 188 192 229 281 282 376 458 562 564 687 752 843 916 1124 1128 1374 1504 1686 1832 2248 2256 2748 3008 3372 3664 4496 4512 5496 6744 7328 8992 9024 10763 10992 13207 13488 14656 17984 21526 21984 26414 26976 32289 39621 43052 43968 52828 53952 64349 64578 79242 86104 105656 128698 129156 158484 172208 193047 211312 257396 258312 316968 344416 386094 422624 514792 516624 633936 688832 772188 845248 1029584 1033248 1267872 1544376 2059168 2066496 2535744 3024403 3088752 4118336 6048806 6177504 9073209 12097612 12355008 18146418 24195224 36292836 48390448 72585672 96780896 145171344 193561792 290342688 580685376