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45284040 = 23325125789
BaseRepresentation
bin1010110010111…
…1101011001000
310011012200000200
42230233223020
543043042130
64254332200
71056623304
oct254575310
9104180020
1045284040
112361a62a
12131ba060
1394c69b9
14602ad04
153e97760
hex2b2fac8

45284040 has 48 divisors (see below), whose sum is σ = 147174300. Its totient is φ = 12075648.

The previous prime is 45283991. The next prime is 45284059. The reversal of 45284040 is 4048254.

It can be written as a sum of positive squares in 2 ways, for example, as 44916804 + 367236 = 6702^2 + 606^2 .

It is a junction number, because it is equal to n+sod(n) for n = 45283995 and 45284013.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 62535 + ... + 63254.

Almost surely, 245284040 is an apocalyptic number.

45284040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

45284040 is an abundant number, since it is smaller than the sum of its proper divisors (101890260).

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

45284040 is a wasteful number, since it uses less digits than its factorization.

45284040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125806 (or 125799 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 27.

The square root of 45284040 is about 6729.3417211493. The cubic root of 45284040 is about 356.4361317274.

The spelling of 45284040 in words is "forty-five million, two hundred eighty-four thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 125789 251578 377367 503156 628945 754734 1006312 1132101 1257890 1509468 1886835 2264202 2515780 3018936 3773670 4528404 5031560 5660505 7547340 9056808 11321010 15094680 22642020 45284040