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19925312 = 261123183
BaseRepresentation
bin100110000000…
…0100101000000
31101111022101112
41030000211000
520100102222
61551022452
7331235201
oct114004500
941438345
1019925312
111027a200
12680aa28
134188434
1429095a8
151b38be2
hex1300940

19925312 has 84 divisors (see below), whose sum is σ = 45403008. Its totient is φ = 8659200.

The previous prime is 19925299. The next prime is 19925317. The reversal of 19925312 is 21352991.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19925317) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 240023 + ... + 240105.

It is an arithmetic number, because the mean of its divisors is an integer number (540512).

Almost surely, 219925312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19925312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22701504).

19925312 is an abundant number, since it is smaller than the sum of its proper divisors (25477696).

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

19925312 is a wasteful number, since it uses less digits than its factorization.

19925312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

The product of its digits is 4860, while the sum is 32.

The square root of 19925312 is about 4463.7777722463. Note that the first 5 decimals coincide. The cubic root of 19925312 is about 271.1034494734.

The spelling of 19925312 in words is "nineteen million, nine hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 83 88 121 124 166 176 242 248 332 341 352 484 496 664 682 704 913 968 992 1328 1364 1826 1936 1984 2573 2656 2728 3652 3751 3872 5146 5312 5456 7304 7502 7744 10043 10292 10912 14608 15004 20086 20584 21824 28303 29216 30008 40172 41168 56606 58432 60016 80344 82336 113212 120032 160688 164672 226424 240064 311333 321376 452848 622666 642752 905696 1245332 1811392 2490664 4981328 9962656 19925312