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235916968 = 23721035843
BaseRepresentation
bin11100000111111…
…00111010101000
3121102220211020111
432003330322220
5440343320333
635224304104
75563155400
oct1603747250
9542824214
10235916968
11111194a01
1267012034
1339b51551
1423491800
1515aa14cd
hexe0fcea8

235916968 has 48 divisors (see below), whose sum is σ = 519648480. Its totient is φ = 100108512.

The previous prime is 235916903. The next prime is 235916971. The reversal of 235916968 is 869619532.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 37455 + ... + 43297.

It is an arithmetic number, because the mean of its divisors is an integer number (10826010).

Almost surely, 2235916968 is an apocalyptic number.

235916968 is a gapful number since it is divisible by the number (28) 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 235916968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259824240).

235916968 is an abundant number, since it is smaller than the sum of its proper divisors (283731512).

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

235916968 is a wasteful number, since it uses less digits than its factorization.

235916968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5966 (or 5955 counting only the distinct ones).

The product of its digits is 699840, while the sum is 49.

The square root of 235916968 is about 15359.5887965792. The cubic root of 235916968 is about 617.9021779723.

The spelling of 235916968 in words is "two hundred thirty-five million, nine hundred sixteen thousand, nine hundred sixty-eight".

Divisors: 1 2 4 7 8 14 28 49 56 98 103 196 206 392 412 721 824 1442 2884 5047 5768 5843 10094 11686 20188 23372 40376 40901 46744 81802 163604 286307 327208 572614 601829 1145228 1203658 2290456 2407316 4212803 4814632 8425606 16851212 29489621 33702424 58979242 117958484 235916968