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780683442 = 2371147157229
BaseRepresentation
bin101110100010000…
…100100010110010
32000101222211100120
4232202010202302
53044323332232
6205244431110
725226462010
oct5642044262
92011884316
10780683442
11370748030
12199548496
13c597b886
147597b8b0
154880d92c
hex2e8848b2

780683442 has 128 divisors (see below), whose sum is σ = 2009456640. Its totient is φ = 196335360.

The previous prime is 780683441. The next prime is 780683467. The reversal of 780683442 is 244386087.

It is a super-2 number, since 2×7806834422 = 1218933273225934728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 780683394 and 780683403.

It is not an unprimeable number, because it can be changed into a prime (780683441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3408984 + ... + 3409212.

It is an arithmetic number, because the mean of its divisors is an integer number (15698880).

Almost surely, 2780683442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 780683442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1004728320).

780683442 is an abundant number, since it is smaller than the sum of its proper divisors (1228773198).

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

780683442 is a wasteful number, since it uses less digits than its factorization.

780683442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456.

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 780683442 is about 27940.7129830289. The cubic root of 780683442 is about 920.7851842849.

The spelling of 780683442 in words is "seven hundred eighty million, six hundred eighty-three thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 47 66 77 94 141 154 157 229 231 282 314 329 458 462 471 517 658 687 942 987 1034 1099 1374 1551 1603 1727 1974 2198 2519 3102 3206 3297 3454 3619 4809 5038 5181 6594 7238 7379 7557 9618 10362 10763 10857 12089 14758 15114 17633 21526 21714 22137 24178 32289 35266 35953 36267 44274 51653 52899 64578 71906 72534 75341 81169 103306 105798 107859 118393 150682 154959 162338 215718 226023 236786 243507 251671 309918 355179 395483 452046 487014 503342 568183 710358 755013 790966 828751 1136366 1186449 1510026 1657502 1689791 1704549 2372898 2486253 2768381 3379582 3409098 4972506 5069373 5536762 8305143 10138746 11828537 16610286 18587701 23657074 35485611 37175402 55763103 70971222 111526206 130113907 260227814 390341721 780683442