Search a number
-
+
38809472 = 271383281
BaseRepresentation
bin1001010000001…
…0111110000000
32201000201120212
42110002332000
534413400342
63503453252
7650606102
oct224027600
981021525
1038809472
111a9a8149
1210bb7228
13806a9b0
145223572
153619182
hex2502f80

38809472 has 64 divisors (see below), whose sum is σ = 84566160. Its totient is φ = 17633280.

The previous prime is 38809469. The next prime is 38809499. The reversal of 38809472 is 27490883.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 137972 + ... + 138252.

Almost surely, 238809472 is an apocalyptic number.

38809472 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 38809472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42283080).

38809472 is an abundant number, since it is smaller than the sum of its proper divisors (45756688).

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

38809472 is a wasteful number, since it uses less digits than its factorization.

38809472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 41.

The square root of 38809472 is about 6229.7248735398. The cubic root of 38809472 is about 338.5680026172.

The spelling of 38809472 in words is "thirty-eight million, eight hundred nine thousand, four hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 83 104 128 166 208 281 332 416 562 664 832 1079 1124 1328 1664 2158 2248 2656 3653 4316 4496 5312 7306 8632 8992 10624 14612 17264 17984 23323 29224 34528 35968 46646 58448 69056 93292 116896 138112 186584 233792 303199 373168 467584 606398 746336 1212796 1492672 2425592 2985344 4851184 9702368 19404736 38809472