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192104416 = 2574771257
BaseRepresentation
bin10110111001101…
…00011111100000
3111101110220201101
423130310133200
5343134320131
631021244144
74521601120
oct1334643740
9441426641
10192104416
119948a989
1254403654
1330a5156a
141b728c80
1511ce9c61
hexb7347e0

192104416 has 96 divisors (see below), whose sum is σ = 449390592. Its totient is φ = 79134720.

The previous prime is 192104401. The next prime is 192104417. The reversal of 192104416 is 614401291.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192104417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 747360 + ... + 747616.

It is an arithmetic number, because the mean of its divisors is an integer number (4681152).

Almost surely, 2192104416 is an apocalyptic number.

192104416 is a gapful number since it is divisible by the number (16) 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 192104416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224695296).

192104416 is an abundant number, since it is smaller than the sum of its proper divisors (257286176).

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

192104416 is a wasteful number, since it uses less digits than its factorization.

192104416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392 (or 384 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 192104416 is about 13860.1737362848. The cubic root of 192104416 is about 577.0043882897.

The spelling of 192104416 in words is "one hundred ninety-two million, one hundred four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 47 56 71 94 112 142 188 224 257 284 329 376 497 514 568 658 752 994 1028 1136 1316 1504 1799 1988 2056 2272 2632 3337 3598 3976 4112 5264 6674 7196 7952 8224 10528 12079 13348 14392 15904 18247 23359 24158 26696 28784 36494 46718 48316 53392 57568 72988 84553 93436 96632 106784 127729 145976 169106 186872 193264 255458 291952 338212 373744 386528 510916 583904 676424 747488 857609 1021832 1352848 1715218 2043664 2705696 3430436 4087328 6003263 6860872 12006526 13721744 24013052 27443488 48026104 96052208 192104416