Search a number
-
+
45297720 = 23325139679
BaseRepresentation
bin1010110011001…
…1000000111000
310011020100210100
42230303000320
543044011340
64254515400
71060011216
oct254630070
9104210710
1045297720
1123629936
1213205b60
1394cccb0
146031cb6
153e9b830
hex2b33038

45297720 has 96 divisors (see below), whose sum is σ = 158558400. Its totient is φ = 11149056.

The previous prime is 45297713. The next prime is 45297779. The reversal of 45297720 is 2779254.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 160 + ... + 9519.

It is an arithmetic number, because the mean of its divisors is an integer number (1651650).

Almost surely, 245297720 is an apocalyptic number.

45297720 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 45297720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79279200).

45297720 is an abundant number, since it is smaller than the sum of its proper divisors (113260680).

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

45297720 is a wasteful number, since it uses less digits than its factorization.

45297720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9709 (or 9702 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 45297720 is about 6730.3580885418. The cubic root of 45297720 is about 356.4720204228.

The spelling of 45297720 in words is "forty-five million, two hundred ninety-seven thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 26 30 36 39 40 45 52 60 65 72 78 90 104 117 120 130 156 180 195 234 260 312 360 390 468 520 585 780 936 1170 1560 2340 4680 9679 19358 29037 38716 48395 58074 77432 87111 96790 116148 125827 145185 174222 193580 232296 251654 290370 348444 377481 387160 435555 503308 580740 629135 696888 754962 871110 1006616 1132443 1161480 1258270 1509924 1742220 1887405 2264886 2516540 3019848 3484440 3774810 4529772 5033080 5662215 7549620 9059544 11324430 15099240 22648860 45297720