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18897948 = 2234174773
BaseRepresentation
bin100100000010…
…1110000011100
31022120010010000
41020011300130
514314213243
61513014300
7316426026
oct110056034
938503100
1018897948
11a738343
1263b4390
133bb8924
14271d016
1519d45d3
hex1205c1c

18897948 has 120 divisors (see below), whose sum is σ = 54153792. Its totient is φ = 5723136.

The previous prime is 18897947. The next prime is 18897959. The reversal of 18897948 is 84979881.

It is a super-2 number, since 2×188979482 = 714264877221408, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 18897894 and 18897903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18897943) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 258840 + ... + 258912.

Almost surely, 218897948 is an apocalyptic number.

18897948 is a gapful number since it is divisible by the number (18) 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 18897948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27076896).

18897948 is an abundant number, since it is smaller than the sum of its proper divisors (35255844).

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

18897948 is a wasteful number, since it uses less digits than its factorization.

18897948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 142 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 54.

The square root of 18897948 is about 4347.1770150294. The cubic root of 18897948 is about 266.3615600733.

The spelling of 18897948 in words is "eighteen million, eight hundred ninety-seven thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 47 51 54 68 73 81 94 102 108 141 146 153 162 188 204 219 282 292 306 324 423 438 459 564 612 657 799 846 876 918 1241 1269 1314 1377 1598 1692 1836 1971 2397 2482 2538 2628 2754 3196 3431 3723 3807 3942 4794 4964 5076 5508 5913 6862 7191 7446 7614 7884 9588 10293 11169 11826 13724 14382 14892 15228 20586 21573 22338 23652 28764 30879 33507 41172 43146 44676 58327 61758 64719 67014 86292 92637 100521 116654 123516 129438 134028 174981 185274 201042 233308 258876 277911 349962 370548 402084 524943 555822 699924 1049886 1111644 1574829 2099772 3149658 4724487 6299316 9448974 18897948