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45982048 = 2571311567
BaseRepresentation
bin1010111101101…
…0000101100000
310012112010111211
42233122011200
543232411143
64321315504
71065561310
oct257320540
9105463454
1045982048
1123a56aa2
1213495b94
1396ac618
14616d440
15408449d
hex2bda160

45982048 has 48 divisors (see below), whose sum is σ = 104315904. Its totient is φ = 19543680.

The previous prime is 45982039. The next prime is 45982051. The reversal of 45982048 is 84028954.

It is a super-2 number, since 2×459820482 = 4228697476548608, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 45982048.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28561 + ... + 30127.

It is an arithmetic number, because the mean of its divisors is an integer number (2173248).

Almost surely, 245982048 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 45982048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52157952).

45982048 is an abundant number, since it is smaller than the sum of its proper divisors (58333856).

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

45982048 is a wasteful number, since it uses less digits than its factorization.

45982048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1715 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The square root of 45982048 is about 6781.0064149800. The cubic root of 45982048 is about 358.2581702576.

The spelling of 45982048 in words is "forty-five million, nine hundred eighty-two thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 131 224 262 524 917 1048 1567 1834 2096 3134 3668 4192 6268 7336 10969 12536 14672 21938 25072 29344 43876 50144 87752 175504 205277 351008 410554 821108 1436939 1642216 2873878 3284432 5747756 6568864 11495512 22991024 45982048