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45982848 = 273119747
BaseRepresentation
bin1010111101101…
…0010010000000
310012112011121110
42233122102000
543232422343
64321323320
71065563532
oct257322200
9105464543
1045982848
1123a5765a
1213496540
1396acab2
14616d852
154084833
hex2bda480

45982848 has 32 divisors (see below), whose sum is σ = 122142960. Its totient is φ = 15327488.

The previous prime is 45982847. The next prime is 45982877. The reversal of 45982848 is 84828954.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×459828482 = 4228844620382208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 45982797 and 45982806.

It is not an unprimeable number, because it can be changed into a prime (45982843) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 59490 + ... + 60257.

Almost surely, 245982848 is an apocalyptic number.

45982848 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

45982848 is an abundant number, since it is smaller than the sum of its proper divisors (76160112).

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

45982848 is a wasteful number, since it uses less digits than its factorization.

45982848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119764 (or 119752 counting only the distinct ones).

The product of its digits is 737280, while the sum is 48.

The square root of 45982848 is about 6781.0654030174. The cubic root of 45982848 is about 358.2602479153.

The spelling of 45982848 in words is "forty-five million, nine hundred eighty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 119747 239494 359241 478988 718482 957976 1436964 1915952 2873928 3831904 5747856 7663808 11495712 15327616 22991424 45982848