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16393248 = 253256921
BaseRepresentation
bin111110100010…
…010000100000
31010211212022100
4332202100200
513144040443
61343210400
7256224504
oct76422040
933755270
1016393248
119287543
1255a6a00
13351c861
14226a304
15168c3d3
hexfa2420

16393248 has 36 divisors (see below), whose sum is σ = 46619118. Its totient is φ = 5464320.

The previous prime is 16393231. The next prime is 16393297. The reversal of 16393248 is 84239361.

It can be written as a sum of positive squares in only one way, i.e., 10575504 + 5817744 = 3252^2 + 2412^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28173 + ... + 28748.

Almost surely, 216393248 is an apocalyptic number.

16393248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16393248 is an abundant number, since it is smaller than the sum of its proper divisors (30225870).

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

16393248 is a wasteful number, since it uses less digits than its factorization.

16393248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56937 (or 56926 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

The square root of 16393248 is about 4048.8576166618. The cubic root of 16393248 is about 254.0319467123.

It can be divided in two parts, 16393 and 248, that added together give a square (16641 = 1292).

The spelling of 16393248 in words is "sixteen million, three hundred ninety-three thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 56921 113842 170763 227684 341526 455368 512289 683052 910736 1024578 1366104 1821472 2049156 2732208 4098312 5464416 8196624 16393248