Search a number
-
+
961826088 = 233313074211
BaseRepresentation
bin111001010101000…
…100110100101000
32111000211211100110
4321111010310220
53432211413323
6235235134320
732556246456
oct7125046450
92430754313
10961826088
11453a201a3
1222a1443a0
13124362882
1491a519d6
1559690793
hex39544d28

961826088 has 64 divisors (see below), whose sum is σ = 2490808320. Its totient is φ = 309182400.

The previous prime is 961826081. The next prime is 961826123. The reversal of 961826088 is 880628169.

It is not an unprimeable number, because it can be changed into a prime (961826081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 226303 + ... + 230513.

It is an arithmetic number, because the mean of its divisors is an integer number (38918880).

Almost surely, 2961826088 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 961826088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245404160).

961826088 is an abundant number, since it is smaller than the sum of its proper divisors (1528982232).

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

961826088 is a wasteful number, since it uses less digits than its factorization.

961826088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4558 (or 4554 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The square root of 961826088 is about 31013.3211378595. The cubic root of 961826088 is about 987.1099224813.

The spelling of 961826088 in words is "nine hundred sixty-one million, eight hundred twenty-six thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 307 372 614 744 921 1228 1842 2456 3684 4211 7368 8422 9517 12633 16844 19034 25266 28551 33688 38068 50532 57102 76136 101064 114204 130541 228408 261082 391623 522164 783246 1044328 1292777 1566492 2585554 3132984 3878331 5171108 7756662 10342216 15513324 31026648 40076087 80152174 120228261 160304348 240456522 320608696 480913044 961826088