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45826680 = 23353197127
BaseRepresentation
bin1010111011010…
…0001001111000
310012020020101110
42232310021320
543212423210
64314120320
71064343324
oct256641170
9105206343
1045826680
1123960299
12134200a0
1396569a3
14612c984
154053420
hex2bb4278

45826680 has 128 divisors (see below), whose sum is σ = 144506880. Its totient is φ = 11612160.

The previous prime is 45826661. The next prime is 45826687. The reversal of 45826680 is 8662854.

45826680 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 (45826687) 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, 360777 + ... + 360903.

It is an arithmetic number, because the mean of its divisors is an integer number (1128960).

Almost surely, 245826680 is an apocalyptic number.

45826680 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 45826680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72253440).

45826680 is an abundant number, since it is smaller than the sum of its proper divisors (98680200).

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

45826680 is a wasteful number, since it uses less digits than its factorization.

45826680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 39.

The square root of 45826680 is about 6769.5406047973. The cubic root of 45826680 is about 357.8542106877.

The spelling of 45826680 in words is "forty-five million, eight hundred twenty-six thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 97 120 124 127 155 186 194 248 254 291 310 372 381 388 465 485 508 582 620 635 744 762 776 930 970 1016 1164 1240 1270 1455 1524 1860 1905 1940 2328 2540 2910 3007 3048 3720 3810 3880 3937 5080 5820 6014 7620 7874 9021 11640 11811 12028 12319 15035 15240 15748 18042 19685 23622 24056 24638 30070 31496 36084 36957 39370 45105 47244 49276 59055 60140 61595 72168 73914 78740 90210 94488 98552 118110 120280 123190 147828 157480 180420 184785 236220 246380 295656 360840 369570 381889 472440 492760 739140 763778 1145667 1478280 1527556 1909445 2291334 3055112 3818890 4582668 5728335 7637780 9165336 11456670 15275560 22913340 45826680