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149621824 = 261121392
BaseRepresentation
bin10001110101100…
…00110001000000
3101102112120120001
420322300301000
5301300344244
622502525344
73464523142
oct1072606100
9342476501
10149621824
1177504100
1242136854
1324cc8a31
1415c2ac92
15d2075d4
hex8eb0c40

149621824 has 63 divisors (see below), whose sum is σ = 328715751. Its totient is φ = 67520640.

The previous prime is 149621803. The next prime is 149621839. The reversal of 149621824 is 428126941.

The square root of 149621824 is 12232.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1076347 + ... + 1076485.

Almost surely, 2149621824 is an apocalyptic number.

149621824 is the 12232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149621824

149621824 is an abundant number, since it is smaller than the sum of its proper divisors (179093927).

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

149621824 is an equidigital number, since it uses as much as digits as its factorization.

149621824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312 (or 152 counting only the distinct ones).

The product of its digits is 27648, while the sum is 37.

The cubic root of 149621824 is about 530.8823844018.

The spelling of 149621824 in words is "one hundred forty-nine million, six hundred twenty-one thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 139 176 242 278 352 484 556 704 968 1112 1529 1936 2224 3058 3872 4448 6116 7744 8896 12232 16819 19321 24464 33638 38642 48928 67276 77284 97856 134552 154568 212531 269104 309136 425062 538208 618272 850124 1076416 1236544 1700248 2337841 3400496 4675682 6800992 9351364 13601984 18702728 37405456 74810912 149621824