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45273240 = 23325671877
BaseRepresentation
bin1010110010110…
…1000010011000
310011012010012200
42230231002120
543042220430
64254210200
71056546645
oct254550230
9104163180
1045273240
1123612501
12131b3960
1394c1acc
146026dcc
153e94460
hex2b2d098

45273240 has 96 divisors (see below), whose sum is σ = 149413680. Its totient is φ = 11886336.

The previous prime is 45273233. The next prime is 45273247. The reversal of 45273240 is 4237254.

It is an interprime number because it is at equal distance from previous prime (45273233) and next prime (45273247).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45273247) 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 23 ways as a sum of consecutive naturals, for example, 23182 + ... + 25058.

Almost surely, 245273240 is an apocalyptic number.

45273240 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 45273240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74706840).

45273240 is an abundant number, since it is smaller than the sum of its proper divisors (104140440).

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

45273240 is a wasteful number, since it uses less digits than its factorization.

45273240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1961 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 45273240 is about 6728.5392173933. The cubic root of 45273240 is about 356.4077934410.

The spelling of 45273240 in words is "forty-five million, two hundred seventy-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 67 72 90 120 134 180 201 268 335 360 402 536 603 670 804 1005 1206 1340 1608 1877 2010 2412 2680 3015 3754 4020 4824 5631 6030 7508 8040 9385 11262 12060 15016 16893 18770 22524 24120 28155 33786 37540 45048 56310 67572 75080 84465 112620 125759 135144 168930 225240 251518 337860 377277 503036 628795 675720 754554 1006072 1131831 1257590 1509108 1886385 2263662 2515180 3018216 3772770 4527324 5030360 5659155 7545540 9054648 11318310 15091080 22636620 45273240