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45448950 = 23521937431
BaseRepresentation
bin1010110101011…
…1111011110110
310011112001020110
42231113323312
543113331300
64302043450
71061211141
oct255277366
9104461213
1045448950
1123722518
1213279586
139553a91
146071058
153ecb550
hex2b57ef6

45448950 has 96 divisors (see below), whose sum is σ = 122135040. Its totient is φ = 11145600.

The previous prime is 45448927. The next prime is 45449011. The reversal of 45448950 is 5984454.

It is a super-2 number, since 2×454489502 = 4131214112205000, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 45448899 and 45448908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 105235 + ... + 105665.

It is an arithmetic number, because the mean of its divisors is an integer number (1272240).

Almost surely, 245448950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45448950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61067520).

45448950 is an abundant number, since it is smaller than the sum of its proper divisors (76686090).

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

45448950 is a wasteful number, since it uses less digits than its factorization.

45448950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 45448950 is about 6741.5836418456. The cubic root of 45448950 is about 356.8682830547.

The spelling of 45448950 in words is "forty-five million, four hundred forty-eight thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 10 15 19 25 30 37 38 50 57 74 75 95 111 114 150 185 190 222 285 370 431 475 555 570 703 862 925 950 1110 1293 1406 1425 1850 2109 2155 2586 2775 2850 3515 4218 4310 5550 6465 7030 8189 10545 10775 12930 15947 16378 17575 21090 21550 24567 31894 32325 35150 40945 47841 49134 52725 64650 79735 81890 95682 105450 122835 159470 204725 239205 245670 302993 398675 409450 478410 605986 614175 797350 908979 1196025 1228350 1514965 1817958 2392050 3029930 4544895 7574825 9089790 15149650 22724475 45448950