Search a number
-
+
3679375896 = 2332726411627
BaseRepresentation
bin1101101101001110…
…1101001000011000
3100111102101122212100
43123103231020120
530013410012041
61405033443400
7160115115300
oct33323551030
910442348770
103679375896
111618a03629
12868270560
13468382401
1426c932600
151680406b6
hexdb4ed218

3679375896 has 144 divisors (see below), whose sum is σ = 11617131240. Its totient is φ = 1048965120.

The previous prime is 3679375891. The next prime is 3679375907. The reversal of 3679375896 is 6985739763.

3679375896 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3679375891) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2260635 + ... + 2262261.

Almost surely, 23679375896 is an apocalyptic number.

3679375896 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3679375896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5808565620).

3679375896 is an abundant number, since it is smaller than the sum of its proper divisors (7937755344).

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

3679375896 is a wasteful number, since it uses less digits than its factorization.

3679375896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2294 (or 2280 counting only the distinct ones).

The product of its digits is 51438240, while the sum is 63.

The square root of 3679375896 is about 60657.8593094085. The cubic root of 3679375896 is about 1543.8012431296.

The spelling of 3679375896 in words is "three billion, six hundred seventy-nine million, three hundred seventy-five thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 641 882 1176 1282 1627 1764 1923 2564 3254 3528 3846 4487 4881 5128 5769 6508 7692 8974 9762 11389 11538 13016 13461 14643 15384 17948 19524 22778 23076 26922 29286 31409 34167 35896 39048 40383 45556 46152 53844 58572 62818 68334 79723 80766 91112 94227 102501 107688 117144 125636 136668 159446 161532 188454 205002 239169 251272 273336 282681 318892 323064 376908 410004 478338 565362 637784 717507 753816 820008 956676 1042907 1130724 1435014 1913352 2085814 2261448 2870028 3128721 4171628 5740056 6257442 7300349 8343256 9386163 12514884 14600698 18772326 21901047 25029768 29201396 37544652 43802094 51102443 58402792 65703141 75089304 87604188 102204886 131406282 153307329 175208376 204409772 262812564 306614658 408819544 459921987 525625128 613229316 919843974 1226458632 1839687948 3679375896