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145422048 = 25319611307
BaseRepresentation
bin10001010101011…
…11011011100000
3101010122012112210
420222233123200
5244212001143
622232522120
73414031662
oct1052573340
9333565483
10145422048
11750a5812
1240850340
1324188265
1415456532
15cb78033
hex8aaf6e0

145422048 has 96 divisors (see below), whose sum is σ = 408723840. Its totient is φ = 45135360.

The previous prime is 145422007. The next prime is 145422049. The reversal of 145422048 is 840224541.

145422048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1454220482 = 42295144089028608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145422049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 110611 + ... + 111917.

It is an arithmetic number, because the mean of its divisors is an integer number (4257540).

Almost surely, 2145422048 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 145422048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204361920).

145422048 is an abundant number, since it is smaller than the sum of its proper divisors (263301792).

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

145422048 is a wasteful number, since it uses less digits than its factorization.

145422048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1400 (or 1392 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 30.

The square root of 145422048 is about 12059.1064345581. The cubic root of 145422048 is about 525.8680098880.

Adding to 145422048 its reverse (840224541), we get a palindrome (985646589).

The spelling of 145422048 in words is "one hundred forty-five million, four hundred twenty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 61 76 96 114 122 152 183 228 244 304 366 456 488 608 732 912 976 1159 1307 1464 1824 1952 2318 2614 2928 3477 3921 4636 5228 5856 6954 7842 9272 10456 13908 15684 18544 20912 24833 27816 31368 37088 41824 49666 55632 62736 74499 79727 99332 111264 125472 148998 159454 198664 239181 297996 318908 397328 478362 595992 637816 794656 956724 1191984 1275632 1514813 1913448 2383968 2551264 3029626 3826896 4544439 6059252 7653792 9088878 12118504 18177756 24237008 36355512 48474016 72711024 145422048