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45148940 = 225171929241
BaseRepresentation
bin1010110000111…
…0101100001100
310010221210200222
42230032230030
543024231230
64251410512
71055521364
oct254165414
9103853628
1045148940
1123538081
1213153a38
13947a365
145dd39a4
153e6c6e5
hex2b0eb0c

45148940 has 96 divisors (see below), whose sum is σ = 109771200. Its totient is φ = 15482880.

The previous prime is 45148933. The next prime is 45148963. The reversal of 45148940 is 4984154.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 45148940.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187220 + ... + 187460.

It is an arithmetic number, because the mean of its divisors is an integer number (1143450).

Almost surely, 245148940 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 45148940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54885600).

45148940 is an abundant number, since it is smaller than the sum of its proper divisors (64622260).

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

45148940 is a wasteful number, since it uses less digits than its factorization.

45148940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 45148940 is about 6719.2960940860. The cubic root of 45148940 is about 356.0813158523.

The spelling of 45148940 in words is "forty-five million, one hundred forty-eight thousand, nine hundred forty".

Divisors: 1 2 4 5 10 17 19 20 29 34 38 58 68 76 85 95 116 145 170 190 241 290 323 340 380 482 493 551 580 646 964 986 1102 1205 1292 1615 1972 2204 2410 2465 2755 3230 4097 4579 4820 4930 5510 6460 6989 8194 9158 9367 9860 11020 13978 16388 18316 18734 20485 22895 27956 34945 37468 40970 45790 46835 69890 77843 81940 91580 93670 118813 132791 139780 155686 187340 237626 265582 311372 389215 475252 531164 594065 663955 778430 1188130 1327910 1556860 2257447 2376260 2655820 4514894 9029788 11287235 22574470 45148940