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45039720 = 233511149229
BaseRepresentation
bin1010101111010…
…0000001101000
310010202020212210
42223310001220
543012232340
64245205120
71054555065
oct253640150
9103666783
1045039720
1123473010
12131007a0
13943c72b
145da5c6c
153e4a180
hex2af4068

45039720 has 128 divisors (see below), whose sum is σ = 149040000. Its totient is φ = 10798080.

The previous prime is 45039703. The next prime is 45039721. The reversal of 45039720 is 2793054.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (45039721) 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 31 ways as a sum of consecutive naturals, for example, 196566 + ... + 196794.

It is an arithmetic number, because the mean of its divisors is an integer number (1164375).

Almost surely, 245039720 is an apocalyptic number.

45039720 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 45039720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74520000).

45039720 is an abundant number, since it is smaller than the sum of its proper divisors (104000280).

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

45039720 is a wasteful number, since it uses less digits than its factorization.

45039720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The square root of 45039720 is about 6711.1638334942. The cubic root of 45039720 is about 355.7939513785.

The spelling of 45039720 in words is "forty-five million, thirty-nine thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 149 165 220 229 264 298 330 440 447 458 596 660 687 745 894 916 1145 1192 1320 1374 1490 1639 1788 1832 2235 2290 2519 2748 2980 3278 3435 3576 4470 4580 4917 5038 5496 5960 6556 6870 7557 8195 8940 9160 9834 10076 12595 13112 13740 15114 16390 17880 19668 20152 24585 25190 27480 30228 32780 34121 37785 39336 49170 50380 60456 65560 68242 75570 98340 100760 102363 136484 151140 170605 196680 204726 272968 302280 341210 375331 409452 511815 682420 750662 818904 1023630 1125993 1364840 1501324 1876655 2047260 2251986 3002648 3753310 4094520 4503972 5629965 7506620 9007944 11259930 15013240 22519860 45039720