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3890432 = 28713167
BaseRepresentation
bin1110110101110100000000
321022122200002
432311310000
51443443212
6215215132
745032240
oct16656400
97278602
103890432
112217a37
1213774a8
13a62a40
14733b20
1551cac2
hex3b5d00

3890432 has 72 divisors (see below), whose sum is σ = 9614976. Its totient is φ = 1529856.

The previous prime is 3890431. The next prime is 3890503. The reversal of 3890432 is 2340983.

It is a super-2 number, since 2×38904322 = 30270922293248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3890395 and 3890404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3890431) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23213 + ... + 23379.

Almost surely, 23890432 is an apocalyptic number.

3890432 is a gapful number since it is divisible by the number (32) 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 3890432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4807488).

3890432 is an abundant number, since it is smaller than the sum of its proper divisors (5724544).

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

3890432 is a wasteful number, since it uses less digits than its factorization.

3890432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 3890432 is about 1972.4178056386. The cubic root of 3890432 is about 157.2772630486.

The spelling of 3890432 in words is "three million, eight hundred ninety thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 167 182 208 224 256 334 364 416 448 668 728 832 896 1169 1336 1456 1664 1792 2171 2338 2672 2912 3328 4342 4676 5344 5824 8684 9352 10688 11648 15197 17368 18704 21376 23296 30394 34736 37408 42752 60788 69472 74816 121576 138944 149632 243152 277888 299264 486304 555776 972608 1945216 3890432