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39130432 = 2611231163
BaseRepresentation
bin1001010101000…
…1010101000000
32201122000212021
42111101111000
540004133212
63514411224
7653413615
oct225212500
981560767
1039130432
11200a7300
1211130b14
138150b03
1452a850c
15367e307
hex2551540

39130432 has 84 divisors (see below), whose sum is σ = 88643968. Its totient is φ = 17107200.

The previous prime is 39130417. The next prime is 39130451. The reversal of 39130432 is 23403193.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 39130397 and 39130406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 239983 + ... + 240145.

Almost surely, 239130432 is an apocalyptic number.

39130432 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 39130432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44321984).

39130432 is an abundant number, since it is smaller than the sum of its proper divisors (49513536).

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

39130432 is a wasteful number, since it uses less digits than its factorization.

39130432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 25.

The square root of 39130432 is about 6255.4321992969. The cubic root of 39130432 is about 339.4987770386.

The spelling of 39130432 in words is "thirty-nine million, one hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 121 124 163 176 242 248 326 341 352 484 496 652 682 704 968 992 1304 1364 1793 1936 1984 2608 2728 3586 3751 3872 5053 5216 5456 7172 7502 7744 10106 10432 10912 14344 15004 19723 20212 21824 28688 30008 39446 40424 55583 57376 60016 78892 80848 111166 114752 120032 157784 161696 222332 240064 315568 323392 444664 611413 631136 889328 1222826 1262272 1778656 2445652 3557312 4891304 9782608 19565216 39130432