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149424816 = 24319592777
BaseRepresentation
bin10001110100000…
…00101010110000
3101102011120022110
420322000222300
5301223043231
622454405320
73463042602
oct1072005260
9342146273
10149424816
117738a092
1242060840
1324c5a168
1415bb9172
15d1b9046
hex8e80ab0

149424816 has 80 divisors (see below), whose sum is σ = 413366400. Its totient is φ = 46370304.

The previous prime is 149424811. The next prime is 149424829. The reversal of 149424816 is 618424941.

It is not an unprimeable number, because it can be changed into a prime (149424811) 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, 52420 + ... + 55196.

It is an arithmetic number, because the mean of its divisors is an integer number (5167080).

Almost surely, 2149424816 is an apocalyptic number.

149424816 is a gapful number since it is divisible by the number (16) 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 149424816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206683200).

149424816 is an abundant number, since it is smaller than the sum of its proper divisors (263941584).

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

149424816 is a wasteful number, since it uses less digits than its factorization.

149424816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2866 (or 2860 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 149424816 is about 12223.9443716012. The cubic root of 149424816 is about 530.6492766650.

The spelling of 149424816 in words is "one hundred forty-nine million, four hundred twenty-four thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 59 76 114 118 152 177 228 236 304 354 456 472 708 912 944 1121 1416 2242 2777 2832 3363 4484 5554 6726 8331 8968 11108 13452 16662 17936 22216 26904 33324 44432 52763 53808 66648 105526 133296 158289 163843 211052 316578 327686 422104 491529 633156 655372 844208 983058 1266312 1310744 1966116 2532624 2621488 3113017 3932232 6226034 7864464 9339051 12452068 18678102 24904136 37356204 49808272 74712408 149424816