Search a number
-
+
45774368 = 2541139251
BaseRepresentation
bin1010111010011…
…1011000100000
310012010120121222
42232213120200
543204234433
64313034212
71064034653
oct256473040
9105116558
1045774368
1123924a62
12133b5968
139638c33
14611789a
154042b98
hex2ba7620

45774368 has 48 divisors (see below), whose sum is σ = 93350880. Its totient is φ = 22080000.

The previous prime is 45774367. The next prime is 45774371. The reversal of 45774368 is 86347754.

Its product of digits (564480) is a multiple of the sum of its prime factors (441).

It is not an unprimeable number, because it can be changed into a prime (45774367) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 182243 + ... + 182493.

It is an arithmetic number, because the mean of its divisors is an integer number (1944810).

Almost surely, 245774368 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 45774368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46675440).

45774368 is an abundant number, since it is smaller than the sum of its proper divisors (47576512).

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

45774368 is a wasteful number, since it uses less digits than its factorization.

45774368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 441 (or 433 counting only the distinct ones).

The product of its digits is 564480, while the sum is 44.

The square root of 45774368 is about 6765.6757238283. The cubic root of 45774368 is about 357.7179931168.

The spelling of 45774368 in words is "forty-five million, seven hundred seventy-four thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 41 82 139 164 251 278 328 502 556 656 1004 1112 1312 2008 2224 4016 4448 5699 8032 10291 11398 20582 22796 34889 41164 45592 69778 82328 91184 139556 164656 182368 279112 329312 558224 1116448 1430449 2860898 5721796 11443592 22887184 45774368