Search a number
-
+
45160192 = 287112979
BaseRepresentation
bin1010110001000…
…1011100000000
310010222101010201
42230101130000
543030111232
64251534544
71055566240
oct254213400
9103871121
1045160192
1123545580
121315a454
13948250c
145dd7b20
153e70be7
hex2b11700

45160192 has 144 divisors (see below), whose sum is σ = 117734400. Its totient is φ = 16773120.

The previous prime is 45160183. The next prime is 45160223. The reversal of 45160192 is 29106154.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 45160192.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 571609 + ... + 571687.

It is an arithmetic number, because the mean of its divisors is an integer number (817600).

Almost surely, 245160192 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 45160192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58867200).

45160192 is an abundant number, since it is smaller than the sum of its proper divisors (72574208).

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

45160192 is a wasteful number, since it uses less digits than its factorization.

45160192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 28.

The square root of 45160192 is about 6720.1333320106. The cubic root of 45160192 is about 356.1108942076.

The spelling of 45160192 in words is "forty-five million, one hundred sixty thousand, one hundred ninety-two".

Divisors: 1 2 4 7 8 11 14 16 22 28 29 32 44 56 58 64 77 79 88 112 116 128 154 158 176 203 224 232 256 308 316 319 352 406 448 464 553 616 632 638 704 812 869 896 928 1106 1232 1264 1276 1408 1624 1738 1792 1856 2212 2233 2291 2464 2528 2552 2816 3248 3476 3712 4424 4466 4582 4928 5056 5104 6083 6496 6952 7424 8848 8932 9164 9856 10112 10208 12166 12992 13904 16037 17696 17864 18328 19712 20224 20416 24332 25201 25984 27808 32074 35392 35728 36656 40832 48664 50402 51968 55616 64148 70784 71456 73312 81664 97328 100804 111232 128296 141568 142912 146624 176407 194656 201608 222464 256592 285824 293248 352814 389312 403216 513184 571648 586496 705628 778624 806432 1026368 1411256 1557248 1612864 2052736 2822512 3225728 4105472 5645024 6451456 11290048 22580096 45160192