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19084896 = 253437199
BaseRepresentation
bin100100011001…
…1011001100000
31022220121120000
41020303121200
514341204041
61521020000
7321135045
oct110633140
938817500
1019084896
11a855846
126484600
133c52a4c
14276b1cc
151a1ebb6
hex1233660

19084896 has 120 divisors (see below), whose sum is σ = 57934800. Its totient is φ = 6158592.

The previous prime is 19084861. The next prime is 19084903. The reversal of 19084896 is 69848091.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 95805 + ... + 96003.

It is an arithmetic number, because the mean of its divisors is an integer number (482790).

Almost surely, 219084896 is an apocalyptic number.

19084896 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 19084896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28967400).

19084896 is an abundant number, since it is smaller than the sum of its proper divisors (38849904).

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

19084896 is a wasteful number, since it uses less digits than its factorization.

19084896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 19084896 is about 4368.6263287216. The cubic root of 19084896 is about 267.2370070774.

The spelling of 19084896 in words is "nineteen million, eighty-four thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 72 74 81 96 108 111 144 148 162 199 216 222 288 296 324 333 398 432 444 592 597 648 666 796 864 888 999 1184 1194 1296 1332 1592 1776 1791 1998 2388 2592 2664 2997 3184 3552 3582 3996 4776 5328 5373 5994 6368 7164 7363 7992 9552 10656 10746 11988 14328 14726 15984 16119 19104 21492 22089 23976 28656 29452 31968 32238 42984 44178 47952 57312 58904 64476 66267 85968 88356 95904 117808 128952 132534 171936 176712 198801 235616 257904 265068 353424 397602 515808 530136 596403 706848 795204 1060272 1192806 1590408 2120544 2385612 3180816 4771224 6361632 9542448 19084896