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32980038 = 2372138629
BaseRepresentation
bin111110111001…
…1110001000110
32022001120002220
41331303301012
531420330123
63134513210
7550216500
oct175636106
968046086
1032980038
1117686433
12b065806
136aa9520
144546d70
152d66ce3
hex1f73c46

32980038 has 48 divisors (see below), whose sum is σ = 82640880. Its totient is φ = 8697024.

The previous prime is 32980037. The next prime is 32980049. The reversal of 32980038 is 83008923.

It is a junction number, because it is equal to n+sod(n) for n = 32979990 and 32980008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32980037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 493 + ... + 8136.

It is an arithmetic number, because the mean of its divisors is an integer number (1721685).

Almost surely, 232980038 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32980038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41320440).

32980038 is an abundant number, since it is smaller than the sum of its proper divisors (49660842).

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

32980038 is a wasteful number, since it uses less digits than its factorization.

32980038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8661 (or 8654 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 32980038 is about 5742.8249146217. The cubic root of 32980038 is about 320.6887443984.

The spelling of 32980038 in words is "thirty-two million, nine hundred eighty thousand, thirty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 49 78 91 98 147 182 273 294 546 637 1274 1911 3822 8629 17258 25887 51774 60403 112177 120806 181209 224354 336531 362418 422821 673062 785239 845642 1268463 1570478 2355717 2536926 4711434 5496673 10993346 16490019 32980038