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149074752 = 2632772803
BaseRepresentation
bin10001110001010…
…11001101000000
3101101111210010010
420320223031000
5301130343002
622443104520
73460054161
oct1070531500
9341453103
10149074752
1177170082
1241b12140
1324b66a18
1415b27768
15d14a46c
hex8e2b340

149074752 has 56 divisors (see below), whose sum is σ = 395992096. Its totient is φ = 49494528.

The previous prime is 149074697. The next prime is 149074801. The reversal of 149074752 is 257470941.

It is a super-3 number, since 3×1490747523 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 149074752.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51783 + ... + 54585.

Almost surely, 2149074752 is an apocalyptic number.

149074752 is a gapful number since it is divisible by the number (12) 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 149074752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197996048).

149074752 is an abundant number, since it is smaller than the sum of its proper divisors (246917344).

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

149074752 is a wasteful number, since it uses less digits than its factorization.

149074752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3095 (or 3085 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 39.

The square root of 149074752 is about 12209.6171930163. The cubic root of 149074752 is about 530.2345609436.

The spelling of 149074752 in words is "one hundred forty-nine million, seventy-four thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 277 554 831 1108 1662 2216 2803 3324 4432 5606 6648 8409 8864 11212 13296 16818 17728 22424 26592 33636 44848 53184 67272 89696 134544 179392 269088 538176 776431 1552862 2329293 3105724 4658586 6211448 9317172 12422896 18634344 24845792 37268688 49691584 74537376 149074752