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18849852 = 22327131571
BaseRepresentation
bin100011111101…
…0000000111100
31022110200010200
41013322000330
514311143402
61512003500
7316135560
oct107720074
938420120
1018849852
11a70519a
126390590
133b9ca78
1427096a0
1519c521c
hex11fa03c

18849852 has 72 divisors (see below), whose sum is σ = 54966912. Its totient is φ = 5335200.

The previous prime is 18849833. The next prime is 18849871. The reversal of 18849852 is 25894881.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (18849833) and next prime (18849871).

It is a junction number, because it is equal to n+sod(n) for n = 18849798 and 18849807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 32727 + ... + 33297.

Almost surely, 218849852 is an apocalyptic number.

18849852 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 18849852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27483456).

18849852 is an abundant number, since it is smaller than the sum of its proper divisors (36117060).

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

18849852 is a wasteful number, since it uses less digits than its factorization.

18849852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 714 counting only the distinct ones).

The product of its digits is 184320, while the sum is 45.

The square root of 18849852 is about 4341.6416250078. The cubic root of 18849852 is about 266.1354013199.

It can be divided in two parts, 18849 and 852, that added together give a triangular number (19701 = T198).

The spelling of 18849852 in words is "eighteen million, eight hundred forty-nine thousand, eight hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 131 252 262 393 524 571 786 917 1142 1179 1572 1713 1834 2284 2358 2751 3426 3668 3997 4716 5139 5502 6852 7994 8253 10278 11004 11991 15988 16506 20556 23982 33012 35973 47964 71946 74801 143892 149602 224403 299204 448806 523607 673209 897612 1047214 1346418 1570821 2094428 2692836 3141642 4712463 6283284 9424926 18849852