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20048382 = 2321931261
BaseRepresentation
bin100110001111…
…0100111111110
31101201120012200
41030132213332
520113022012
61553412330
7332260044
oct114364776
941646180
1020048382
1110353712
12686a0a6
1341cc463
14293c394
151b603dc
hex131e9fe

20048382 has 72 divisors (see below), whose sum is σ = 48021480. Its totient is φ = 6026400.

The previous prime is 20048359. The next prime is 20048411. The reversal of 20048382 is 28384002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 328632 + ... + 328692.

It is an arithmetic number, because the mean of its divisors is an integer number (666965).

Almost surely, 220048382 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20048382, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24010740).

20048382 is an abundant number, since it is smaller than the sum of its proper divisors (27973098).

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

20048382 is a wasteful number, since it uses less digits than its factorization.

20048382 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 20048382 is about 4477.5419596024. The cubic root of 20048382 is about 271.6604669860.

The spelling of 20048382 in words is "twenty million, forty-eight thousand, three hundred eighty-two".

Divisors: 1 2 3 6 9 18 19 31 38 57 61 62 93 114 122 171 183 186 279 342 366 549 558 589 961 1098 1159 1178 1767 1891 1922 2318 2883 3477 3534 3782 5301 5673 5766 6954 8649 10431 10602 11346 17019 17298 18259 20862 34038 35929 36518 54777 58621 71858 107787 109554 117242 164331 175863 215574 323361 328662 351726 527589 646722 1055178 1113799 2227598 3341397 6682794 10024191 20048382