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149528448 = 2732293443
BaseRepresentation
bin10001110100110…
…01111110000000
3101102100211110200
420322121332000
5301234402243
622500525200
73463653666
oct1072317600
9342324420
10149528448
117744aa33
12420b0800
1324c95394
1415c04c36
15d1d9ad3
hex8e99f80

149528448 has 96 divisors (see below), whose sum is σ = 432726840. Its totient is φ = 49560576.

The previous prime is 149528443. The next prime is 149528453. The reversal of 149528448 is 844825941.

It is an interprime number because it is at equal distance from previous prime (149528443) and next prime (149528453).

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

It is a super-2 number, since 2×1495284482 = 44717513522577408, which contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (149528441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 337315 + ... + 337757.

Almost surely, 2149528448 is an apocalyptic number.

149528448 is a gapful number since it is divisible by the number (18) 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 149528448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216363420).

149528448 is an abundant number, since it is smaller than the sum of its proper divisors (283198392).

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

149528448 is a wasteful number, since it uses less digits than its factorization.

149528448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 741 counting only the distinct ones).

The product of its digits is 368640, while the sum is 45.

The square root of 149528448 is about 12228.1825305317. The cubic root of 149528448 is about 530.7719237128.

The spelling of 149528448 in words is "one hundred forty-nine million, five hundred twenty-eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 293 384 443 576 586 879 886 1152 1172 1329 1758 1772 2344 2637 2658 3516 3544 3987 4688 5274 5316 7032 7088 7974 9376 10548 10632 14064 14176 15948 18752 21096 21264 28128 28352 31896 37504 42192 42528 56256 56704 63792 84384 85056 112512 127584 129799 168768 170112 255168 259598 337536 389397 510336 519196 778794 1038392 1168191 1557588 2076784 2336382 3115176 4153568 4672764 6230352 8307136 9345528 12460704 16614272 18691056 24921408 37382112 49842816 74764224 149528448