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149404480 = 2654211109
BaseRepresentation
bin10001110011110…
…11101101000000
3101102010112102021
420321323231000
5301221420410
622454131224
73462626401
oct1071735500
9342115367
10149404480
1177375885
1242050b14
1324c50b24
1415bb19a8
15d1b2eda
hex8e7bb40

149404480 has 56 divisors (see below), whose sum is σ = 356936040. Its totient is φ = 59566080.

The previous prime is 149404471. The next prime is 149404499. The reversal of 149404480 is 84404941.

149404480 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 19079424 + 130325056 = 4368^2 + 11416^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 134166 + ... + 135274.

Almost surely, 2149404480 is an apocalyptic number.

149404480 is a gapful number since it is divisible by the number (10) 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 149404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178468020).

149404480 is an abundant number, since it is smaller than the sum of its proper divisors (207531560).

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

149404480 is a wasteful number, since it uses less digits than its factorization.

149404480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1547 (or 1537 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 149404480 is about 12223.1125332298. The cubic root of 149404480 is about 530.6252026333.

The spelling of 149404480 in words is "one hundred forty-nine million, four hundred four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 421 842 1109 1684 2105 2218 3368 4210 4436 5545 6736 8420 8872 11090 13472 16840 17744 22180 26944 33680 35488 44360 67360 70976 88720 134720 177440 354880 466889 933778 1867556 2334445 3735112 4668890 7470224 9337780 14940448 18675560 29880896 37351120 74702240 149404480