Search a number
-
+
8055978 = 237593251
BaseRepresentation
bin11110101110110010101010
3120011021201120
4132232302222
54030242403
6444400110
7125321550
oct36566252
916137646
108055978
114602637
122846036
131890a68
1410d9bd0
15a91e53
hex7aecaa

8055978 has 32 divisors (see below), whose sum is σ = 18731520. Its totient is φ = 2262000.

The previous prime is 8055961. The next prime is 8055979. The reversal of 8055978 is 8795508.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (8055979) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 853 + ... + 4103.

It is an arithmetic number, because the mean of its divisors is an integer number (585360).

Almost surely, 28055978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8055978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9365760).

8055978 is an abundant number, since it is smaller than the sum of its proper divisors (10675542).

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

8055978 is a wasteful number, since it uses less digits than its factorization.

8055978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3322.

The product of its (nonzero) digits is 100800, while the sum is 42.

The square root of 8055978 is about 2838.3054803879. The cubic root of 8055978 is about 200.4653995098.

The spelling of 8055978 in words is "eight million, fifty-five thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 7 14 21 42 59 118 177 354 413 826 1239 2478 3251 6502 9753 19506 22757 45514 68271 136542 191809 383618 575427 1150854 1342663 2685326 4027989 8055978