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45943440 = 2435474073
BaseRepresentation
bin1010111101000…
…0101010010000
310012110011112220
42233100222100
543230142230
64320421040
71065340614
oct257205220
9105404486
1045943440
1123a2aa94
1213477780
139697b8a
14615d344
154077d10
hex2bd0a90

45943440 has 80 divisors (see below), whose sum is σ = 145490688. Its totient is φ = 11987968.

The previous prime is 45943439. The next prime is 45943451. The reversal of 45943440 is 4434954.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×459434402 = 4221599358067200, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9244 + ... + 13316.

Almost surely, 245943440 is an apocalyptic number.

45943440 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 45943440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72745344).

45943440 is an abundant number, since it is smaller than the sum of its proper divisors (99547248).

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

45943440 is a wasteful number, since it uses less digits than its factorization.

45943440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136 (or 4130 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 45943440 is about 6778.1590420999. The cubic root of 45943440 is about 358.1578738375.

The spelling of 45943440 in words is "forty-five million, nine hundred forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 47 48 60 80 94 120 141 188 235 240 282 376 470 564 705 752 940 1128 1410 1880 2256 2820 3760 4073 5640 8146 11280 12219 16292 20365 24438 32584 40730 48876 61095 65168 81460 97752 122190 162920 191431 195504 244380 325840 382862 488760 574293 765724 957155 977520 1148586 1531448 1914310 2297172 2871465 3062896 3828620 4594344 5742930 7657240 9188688 11485860 15314480 22971720 45943440