[go: up one dir, main page]

Search a number
-
+
683409408 = 21831179
BaseRepresentation
bin101000101111000…
…000000000000000
31202121221210110120
4220233000000000
52344423100113
6151451500240
722635612153
oct5057000000
91677853416
10683409408
11320848670
12170a57680
13ab780a86
1466a99c9a
153eee6a23
hex28bc0000

683409408 has 152 divisors (see below), whose sum is σ = 2013262080. Its totient is φ = 204472320.

The previous prime is 683409403. The next prime is 683409409. The reversal of 683409408 is 804904386.

It is a self number, because there is not a number n which added to its sum of digits gives 683409408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (683409403) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8650713 + ... + 8650791.

Almost surely, 2683409408 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 683409408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1006631040).

683409408 is an abundant number, since it is smaller than the sum of its proper divisors (1329852672).

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

683409408 is an frugal number, since it uses more digits than its factorization.

683409408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 42.

The square root of 683409408 is about 26142.1002981780. The cubic root of 683409408 is about 880.8331503501.

The spelling of 683409408 in words is "six hundred eighty-three million, four hundred nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 79 88 96 128 132 158 176 192 237 256 264 316 352 384 474 512 528 632 704 768 869 948 1024 1056 1264 1408 1536 1738 1896 2048 2112 2528 2607 2816 3072 3476 3792 4096 4224 5056 5214 5632 6144 6952 7584 8192 8448 10112 10428 11264 12288 13904 15168 16384 16896 20224 20856 22528 24576 27808 30336 32768 33792 40448 41712 45056 49152 55616 60672 65536 67584 80896 83424 90112 98304 111232 121344 131072 135168 161792 166848 180224 196608 222464 242688 262144 270336 323584 333696 360448 393216 444928 485376 540672 647168 667392 720896 786432 889856 970752 1081344 1294336 1334784 1441792 1779712 1941504 2162688 2588672 2669568 2883584 3559424 3883008 4325376 5177344 5339136 7118848 7766016 8650752 10354688 10678272 14237696 15532032 20709376 21356544 28475392 31064064 42713088 56950784 62128128 85426176 113901568 170852352 227803136 341704704 683409408