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45412848 = 243213171427
BaseRepresentation
bin1010110100111…
…1000111110000
310011110012201100
42231033013300
543111202343
64301204400
71061000655
oct255170760
9104405640
1045412848
11236a8388
1213260700
139540510
146061c2c
153ec09d3
hex2b4f1f0

45412848 has 120 divisors (see below), whose sum is σ = 145021968. Its totient is φ = 13142016.

The previous prime is 45412847. The next prime is 45412877. The reversal of 45412848 is 84821454.

It is a super-2 number, since 2×454128482 = 4124653526942208, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45412841) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31111 + ... + 32537.

Almost surely, 245412848 is an apocalyptic number.

45412848 is a gapful number since it is divisible by the number (48) 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 45412848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72510984).

45412848 is an abundant number, since it is smaller than the sum of its proper divisors (99609120).

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

45412848 is a wasteful number, since it uses less digits than its factorization.

45412848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1462 counting only the distinct ones).

The product of its digits is 40960, while the sum is 36.

The square root of 45412848 is about 6738.9055491229. The cubic root of 45412848 is about 356.7737662279.

The spelling of 45412848 in words is "forty-five million, four hundred twelve thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 17 18 24 26 34 36 39 48 51 52 68 72 78 102 104 117 136 144 153 156 204 208 221 234 272 306 312 408 442 468 612 624 663 816 884 936 1224 1326 1427 1768 1872 1989 2448 2652 2854 3536 3978 4281 5304 5708 7956 8562 10608 11416 12843 15912 17124 18551 22832 24259 25686 31824 34248 37102 48518 51372 55653 68496 72777 74204 97036 102744 111306 145554 148408 166959 194072 205488 218331 222612 291108 296816 315367 333918 388144 436662 445224 582216 630734 667836 873324 890448 946101 1164432 1261468 1335672 1746648 1892202 2522936 2671344 2838303 3493296 3784404 5045872 5676606 7568808 11353212 15137616 22706424 45412848