Search a number
-
+
149364448 = 2517231521
BaseRepresentation
bin10001110011100…
…01111011100000
3101102001111111121
420321301323200
5301214130243
622453222024
73462401602
oct1071617340
9342044447
10149364448
11773487a2
1242031914
1324c3883c
1415ba1172
15d1a61ed
hex8e71ee0

149364448 has 72 divisors (see below), whose sum is σ = 323072064. Its totient is φ = 67891200.

The previous prime is 149364433. The next prime is 149364451. The reversal of 149364448 is 844463941.

149364448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 286428 + ... + 286948.

It is an arithmetic number, because the mean of its divisors is an integer number (4487112).

Almost surely, 2149364448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 149364448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161536032).

149364448 is an abundant number, since it is smaller than the sum of its proper divisors (173707616).

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

149364448 is a wasteful number, since it uses less digits than its factorization.

149364448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 571 counting only the distinct ones).

The product of its digits is 331776, while the sum is 43.

The square root of 149364448 is about 12221.4748700801. The cubic root of 149364448 is about 530.5778058270.

The spelling of 149364448 in words is "one hundred forty-nine million, three hundred sixty-four thousand, four hundred forty-eight".

Divisors: 1 2 4 8 16 17 31 32 34 62 68 124 136 248 272 289 496 521 527 544 578 992 1042 1054 1156 2084 2108 2312 4168 4216 4624 8336 8432 8857 8959 9248 16151 16672 16864 17714 17918 32302 35428 35836 64604 70856 71672 129208 141712 143344 150569 258416 274567 283424 286688 301138 516832 549134 602276 1098268 1204552 2196536 2409104 4393072 4667639 4818208 8786144 9335278 18670556 37341112 74682224 149364448