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19798272 = 283213661
BaseRepresentation
bin100101110000…
…1100100000000
31101020212010100
41023201210000
520032021042
61544202400
7330165624
oct113414400
941225110
1019798272
11101a280a
126769400
134142670
1428b5184
151b1124c
hex12e1900

19798272 has 108 divisors (see below), whose sum is σ = 61567324. Its totient is φ = 6082560.

The previous prime is 19798267. The next prime is 19798291. The reversal of 19798272 is 27289791.

It can be written as a sum of positive squares in 2 ways, for example, as 9144576 + 10653696 = 3024^2 + 3264^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29622 + ... + 30282.

Almost surely, 219798272 is an apocalyptic number.

19798272 is a gapful number since it is divisible by the number (12) 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 19798272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30783662).

19798272 is an abundant number, since it is smaller than the sum of its proper divisors (41769052).

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

19798272 is a wasteful number, since it uses less digits than its factorization.

19798272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 696 (or 679 counting only the distinct ones).

The product of its digits is 127008, while the sum is 45.

The square root of 19798272 is about 4449.5249184604. The cubic root of 19798272 is about 270.5260525928.

The spelling of 19798272 in words is "nineteen million, seven hundred ninety-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 576 624 661 768 832 936 1152 1248 1322 1664 1872 1983 2304 2496 2644 3328 3744 3966 4992 5288 5949 7488 7932 8593 9984 10576 11898 14976 15864 17186 21152 23796 25779 29952 31728 34372 42304 47592 51558 63456 68744 77337 84608 95184 103116 126912 137488 154674 169216 190368 206232 253824 274976 309348 380736 412464 507648 549952 618696 761472 824928 1099904 1237392 1522944 1649856 2199808 2474784 3299712 4949568 6599424 9899136 19798272