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149031456 = 2537221773
BaseRepresentation
bin10001110001000…
…00101000100000
3101101102120201120
420320200220200
5301123001311
622442132240
73456514020
oct1070405040
9341376646
10149031456
11771405a2
1241ab1080
1324b500c2
1415b15a80
15d13c706
hex8e20a20

149031456 has 48 divisors (see below), whose sum is σ = 447096384. Its totient is φ = 42580224.

The previous prime is 149031451. The next prime is 149031481. The reversal of 149031456 is 654130941.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (149031451) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 110215 + ... + 111558.

It is an arithmetic number, because the mean of its divisors is an integer number (9314508).

Almost surely, 2149031456 is an apocalyptic number.

149031456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

149031456 is an abundant number, since it is smaller than the sum of its proper divisors (298064928).

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

149031456 is a wasteful number, since it uses less digits than its factorization.

149031456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221793 (or 221785 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 149031456 is about 12207.8440357010. The cubic root of 149031456 is about 530.1832237048.

The spelling of 149031456 in words is "one hundred forty-nine million, thirty-one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 221773 443546 665319 887092 1330638 1552411 1774184 2661276 3104822 3548368 4657233 5322552 6209644 7096736 9314466 10645104 12419288 18628932 21290208 24838576 37257864 49677152 74515728 149031456