Search a number
-
+
45994080 = 25351131281
BaseRepresentation
bin1010111101110…
…1000001100000
310012112202000110
42233131001200
543233302310
64321451320
71065641346
oct257350140
9105482013
1045994080
1123a65040
12134a0b40
1396b4c42
146173996
154087d20
hex2bdd060

45994080 has 192 divisors, whose sum is σ = 163731456. Its totient is φ = 10752000.

The previous prime is 45994063. The next prime is 45994103. The reversal of 45994080 is 8049954.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 163540 + ... + 163820.

It is an arithmetic number, because the mean of its divisors is an integer number (852768).

Almost surely, 245994080 is an apocalyptic number.

45994080 is a gapful number since it is divisible by the number (40) 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 45994080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81865728).

45994080 is an abundant number, since it is smaller than the sum of its proper divisors (117737376).

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

45994080 is a wasteful number, since it uses less digits than its factorization.

45994080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The square root of 45994080 is about 6781.8935408925. The cubic root of 45994080 is about 358.2894156861.

The spelling of 45994080 in words is "forty-five million, nine hundred ninety-four thousand, eighty".