Search a number
-
+
45397950 = 23521331751
BaseRepresentation
bin1010110100101…
…1011110111110
310011102110021120
42231023132332
543110213300
64301011410
71060606353
oct255133676
9104373246
1045397950
1123698174
1213253b66
1395367c0
14605a62a
153ebb3a0
hex2b4b7be

45397950 has 96 divisors (see below), whose sum is σ = 125325312. Its totient is φ = 10800000.

The previous prime is 45397949. The next prime is 45397951. The reversal of 45397950 is 5979354.

It is an interprime number because it is at equal distance from previous prime (45397949) and next prime (45397951).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45397951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60075 + ... + 60825.

It is an arithmetic number, because the mean of its divisors is an integer number (1305472).

Almost surely, 245397950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45397950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62662656).

45397950 is an abundant number, since it is smaller than the sum of its proper divisors (79927362).

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

45397950 is a wasteful number, since it uses less digits than its factorization.

45397950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 42.

The square root of 45397950 is about 6737.8000860815. The cubic root of 45397950 is about 356.7347479241.

The spelling of 45397950 in words is "forty-five million, three hundred ninety-seven thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 13 15 25 26 30 31 39 50 62 65 75 78 93 130 150 155 186 195 310 325 390 403 465 650 751 775 806 930 975 1209 1502 1550 1950 2015 2253 2325 2418 3755 4030 4506 4650 6045 7510 9763 10075 11265 12090 18775 19526 20150 22530 23281 29289 30225 37550 46562 48815 56325 58578 60450 69843 97630 112650 116405 139686 146445 232810 244075 292890 302653 349215 488150 582025 605306 698430 732225 907959 1164050 1464450 1513265 1746075 1815918 3026530 3492150 4539795 7566325 9079590 15132650 22698975 45397950