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45249720 = 23354771113
BaseRepresentation
bin1010110010011…
…1010010111000
310011010220221120
42230213102320
543040442340
64253505240
71056421245
oct254472270
9104126846
1045249720
11235a686a
12131a2220
1394b41a9
14601c5cc
153e8c4d0
hex2b274b8

45249720 has 128 divisors (see below), whose sum is σ = 141834240. Its totient is φ = 11540480.

The previous prime is 45249689. The next prime is 45249727. The reversal of 45249720 is 2794254.

45249720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45249727) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 400384 + ... + 400496.

It is an arithmetic number, because the mean of its divisors is an integer number (1108080).

Almost surely, 245249720 is an apocalyptic number.

45249720 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 45249720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70917120).

45249720 is an abundant number, since it is smaller than the sum of its proper divisors (96584520).

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

45249720 is a wasteful number, since it uses less digits than its factorization.

45249720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The square root of 45249720 is about 6726.7912112686. The cubic root of 45249720 is about 356.3460633523.

The spelling of 45249720 in words is "forty-five million, two hundred forty-nine thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 47 60 71 94 113 120 141 142 188 213 226 235 282 284 339 355 376 426 452 470 564 565 568 678 705 710 852 904 940 1065 1128 1130 1356 1410 1420 1695 1704 1880 2130 2260 2712 2820 2840 3337 3390 4260 4520 5311 5640 6674 6780 8023 8520 10011 10622 13348 13560 15933 16046 16685 20022 21244 24069 26555 26696 31866 32092 33370 40044 40115 42488 48138 50055 53110 63732 64184 66740 79665 80088 80230 96276 100110 106220 120345 127464 133480 159330 160460 192552 200220 212440 240690 318660 320920 377081 400440 481380 637320 754162 962760 1131243 1508324 1885405 2262486 3016648 3770810 4524972 5656215 7541620 9049944 11312430 15083240 22624860 45249720