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148644864 = 210321272
BaseRepresentation
bin10001101110000…
…10010000000000
3101100200221102100
420313002100000
5301023113424
622425550400
73453313644
oct1067022000
9340627370
10148644864
11769a70a5
1241945400
1324a46154
1415a54c24
15d0b2dc9
hex8dc2400

148644864 has 99 divisors (see below), whose sum is σ = 432615027. Its totient is φ = 49158144.

The previous prime is 148644857. The next prime is 148644869. The reversal of 148644864 is 468446841.

The square root of 148644864 is 12192.

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

148644864 is a `hidden beast` number, since 148 + 6 + 448 + 64 = 666.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (148644869) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1170369 + ... + 1170495.

Almost surely, 2148644864 is an apocalyptic number.

148644864 is the 12192-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148644864

148644864 is an abundant number, since it is smaller than the sum of its proper divisors (283970163).

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

148644864 is an equidigital number, since it uses as much as digits as its factorization.

148644864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 132 counting only the distinct ones).

The product of its digits is 589824, while the sum is 45.

The cubic root of 148644864 is about 529.7243897507.

Multiplying 148644864 by its product of digits (589824), we get a square (87674308263936 = 93634562).

The spelling of 148644864 in words is "one hundred forty-eight million, six hundred forty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 127 128 144 192 254 256 288 381 384 508 512 576 762 768 1016 1024 1143 1152 1524 1536 2032 2286 2304 3048 3072 4064 4572 4608 6096 8128 9144 9216 12192 16129 16256 18288 24384 32258 32512 36576 48387 48768 64516 65024 73152 96774 97536 129032 130048 145161 146304 193548 195072 258064 290322 292608 387096 390144 516128 580644 585216 774192 1032256 1161288 1170432 1548384 2064512 2322576 3096768 4129024 4645152 6193536 8258048 9290304 12387072 16516096 18580608 24774144 37161216 49548288 74322432 148644864