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16098048 = 283317137
BaseRepresentation
bin111101011010…
…001100000000
31010021212101000
4331122030000
513110114143
61333012000
7253555041
oct75321400
933255330
1016098048
1190a577a
125484000
133448395
1421d08c8
15162ebd3
hexf5a300

16098048 has 144 divisors (see below), whose sum is σ = 50772960. Its totient is φ = 5013504.

The previous prime is 16098001. The next prime is 16098059. The reversal of 16098048 is 84089061.

It is a happy number.

16098048 is a `hidden beast` number, since 1 + 609 + 8 + 0 + 48 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117436 + ... + 117572.

It is an arithmetic number, because the mean of its divisors is an integer number (352590).

Almost surely, 216098048 is an apocalyptic number.

16098048 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 16098048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25386480).

16098048 is an abundant number, since it is smaller than the sum of its proper divisors (34674912).

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

16098048 is a wasteful number, since it uses less digits than its factorization.

16098048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 16098048 is about 4012.2372811189. The cubic root of 16098048 is about 252.4978818892.

It can be divided in two parts, 160980 and 48, that added together give a triangular number (161028 = T567).

The spelling of 16098048 in words is "sixteen million, ninety-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 137 144 153 192 204 216 256 272 274 288 306 384 408 411 432 459 544 548 576 612 768 816 822 864 918 1088 1096 1152 1224 1233 1632 1644 1728 1836 2176 2192 2304 2329 2448 2466 3264 3288 3456 3672 3699 4352 4384 4658 4896 4932 6528 6576 6912 6987 7344 7398 8768 9316 9792 9864 13056 13152 13974 14688 14796 17536 18632 19584 19728 20961 26304 27948 29376 29592 35072 37264 39168 39456 41922 52608 55896 58752 59184 62883 74528 78912 83844 105216 111792 117504 118368 125766 149056 157824 167688 223584 236736 251532 298112 315648 335376 447168 473472 503064 596224 670752 894336 946944 1006128 1341504 1788672 2012256 2683008 4024512 5366016 8049024 16098048