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45282640 = 2451343541
BaseRepresentation
bin1010110010111…
…1010101010000
310011012121002211
42230233111100
543043021030
64254321504
71056616234
oct254572520
9104177084
1045282640
1123619577
12131b9294
1394c6180
14602a5c4
153e9712a
hex2b2f550

45282640 has 40 divisors (see below), whose sum is σ = 113383368. Its totient is φ = 16719360.

The previous prime is 45282637. The next prime is 45282673. The reversal of 45282640 is 4628254.

45282640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 446224 + 44836416 = 668^2 + 6696^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20731 + ... + 22810.

Almost surely, 245282640 is an apocalyptic number.

45282640 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45282640 is an abundant number, since it is smaller than the sum of its proper divisors (68100728).

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

45282640 is a wasteful number, since it uses less digits than its factorization.

45282640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43567 (or 43561 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

The square root of 45282640 is about 6729.2376982835. The cubic root of 45282640 is about 356.4324585000.

The spelling of 45282640 in words is "forty-five million, two hundred eighty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 43541 87082 174164 217705 348328 435410 566033 696656 870820 1132066 1741640 2264132 2830165 3483280 4528264 5660330 9056528 11320660 22641320 45282640