Search a number
-
+
195401856 = 2731323011
BaseRepresentation
bin10111010010110…
…01100010000000
3111121200102221210
423221121202000
5400010324411
631220050120
74561613466
oct1351314200
9447612853
10195401856
11a0332341
1255533940
1331637400
141bd46836
151224bca6
hexba59880

195401856 has 96 divisors (see below), whose sum is σ = 562219920. Its totient is φ = 60103680.

The previous prime is 195401851. The next prime is 195401861. The reversal of 195401856 is 658104591.

It is an interprime number because it is at equal distance from previous prime (195401851) and next prime (195401861).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (195401851) 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 11 ways as a sum of consecutive naturals, for example, 63391 + ... + 66401.

Almost surely, 2195401856 is an apocalyptic number.

195401856 is a gapful number since it is divisible by the number (16) 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 195401856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281109960).

195401856 is an abundant number, since it is smaller than the sum of its proper divisors (366818064).

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

195401856 is a wasteful number, since it uses less digits than its factorization.

195401856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3054 (or 3029 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 39.

The square root of 195401856 is about 13978.6213912531. The cubic root of 195401856 is about 580.2870715248.

The spelling of 195401856 in words is "one hundred ninety-five million, four hundred one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 169 192 208 312 338 384 416 507 624 676 832 1014 1248 1352 1664 2028 2496 2704 3011 4056 4992 5408 6022 8112 9033 10816 12044 16224 18066 21632 24088 32448 36132 39143 48176 64896 72264 78286 96352 117429 144528 156572 192704 234858 289056 313144 385408 469716 508859 578112 626288 939432 1017718 1156224 1252576 1526577 1878864 2035436 2505152 3053154 3757728 4070872 5010304 6106308 7515456 8141744 12212616 15030912 16283488 24425232 32566976 48850464 65133952 97700928 195401856