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45853808 = 24721113409
BaseRepresentation
bin1010111011101…
…0110001110000
310012021121121012
42232322301300
543214310213
64314450052
71064515400
oct256726160
9105247535
1045853808
1123979710
1213433928
139666140
146138800
15405b4a8
hex2bbac70

45853808 has 120 divisors (see below), whose sum is σ = 121710960. Its totient is φ = 16450560.

The previous prime is 45853757. The next prime is 45853817. The reversal of 45853808 is 80835854.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111908 + ... + 112316.

It is an arithmetic number, because the mean of its divisors is an integer number (1014258).

Almost surely, 245853808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45853808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60855480).

45853808 is an abundant number, since it is smaller than the sum of its proper divisors (75857152).

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

45853808 is a wasteful number, since it uses less digits than its factorization.

45853808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 442 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 41.

The square root of 45853808 is about 6771.5439893720. The cubic root of 45853808 is about 357.9248096930.

The spelling of 45853808 in words is "forty-five million, eight hundred fifty-three thousand, eight hundred eight".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 44 49 52 56 77 88 91 98 104 112 143 154 176 182 196 208 286 308 364 392 409 539 572 616 637 728 784 818 1001 1078 1144 1232 1274 1456 1636 2002 2156 2288 2548 2863 3272 4004 4312 4499 5096 5317 5726 6544 7007 8008 8624 8998 10192 10634 11452 14014 16016 17996 20041 21268 22904 28028 31493 35992 37219 40082 42536 45808 56056 58487 62986 71984 74438 80164 85072 112112 116974 125972 148876 160328 220451 233948 251944 260533 297752 320656 409409 440902 467896 503888 521066 595504 818818 881804 935792 1042132 1637636 1763608 2084264 2865863 3275272 3527216 4168528 5731726 6550544 11463452 22926904 45853808