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190349824 = 297173307
BaseRepresentation
bin10110101100010…
…00001000000000
3111021011202212111
423112020020000
5342212143244
630515505104
74500642520
oct1326101000
9437152774
10190349824
11984a1705
12538b8194
1330588a42
141b3cd680
1511a9ee34
hexb588200

190349824 has 80 divisors (see below), whose sum is σ = 438596928. Its totient is φ = 80842752.

The previous prime is 190349821. The next prime is 190349837. The reversal of 190349824 is 428943091.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (190349821) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 619879 + ... + 620185.

Almost surely, 2190349824 is an apocalyptic number.

190349824 is a gapful number since it is divisible by the number (14) 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 190349824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219298464).

190349824 is an abundant number, since it is smaller than the sum of its proper divisors (248247104).

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

190349824 is an equidigital number, since it uses as much as digits as its factorization.

190349824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 40.

The square root of 190349824 is about 13796.7323667599. The cubic root of 190349824 is about 575.2423165202.

The spelling of 190349824 in words is "one hundred ninety million, three hundred forty-nine thousand, eight hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 173 224 256 307 346 448 512 614 692 896 1211 1228 1384 1792 2149 2422 2456 2768 3584 4298 4844 4912 5536 8596 9688 9824 11072 17192 19376 19648 22144 34384 38752 39296 44288 53111 68768 77504 78592 88576 106222 137536 155008 157184 212444 275072 310016 371777 424888 550144 620032 743554 849776 1100288 1487108 1699552 2974216 3399104 5948432 6798208 11896864 13596416 23793728 27192832 47587456 95174912 190349824