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38460672 = 283216693
BaseRepresentation
bin1001001010110…
…1110100000000
32200101000010100
42102231310000
534321220142
63452202400
7644624145
oct222556400
980330110
1038460672
111a78a088
1210a69400
137c77cc3
1451723cc
15359ab4c
hex24add00

38460672 has 54 divisors (see below), whose sum is σ = 110898242. Its totient is φ = 12819456.

The previous prime is 38460671. The next prime is 38460679. The reversal of 38460672 is 27606483.

It can be written as a sum of positive squares in only one way, i.e., 24443136 + 14017536 = 4944^2 + 3744^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38460671) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6043 + ... + 10650.

Almost surely, 238460672 is an apocalyptic number.

38460672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38460672 is an abundant number, since it is smaller than the sum of its proper divisors (72437570).

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

38460672 is a wasteful number, since it uses less digits than its factorization.

38460672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16715 (or 16698 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 38460672 is about 6201.6668727045. Note that the first 3 decimals coincide. The cubic root of 38460672 is about 337.5506557711.

The spelling of 38460672 in words is "thirty-eight million, four hundred sixty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 16693 33386 50079 66772 100158 133544 150237 200316 267088 300474 400632 534176 600948 801264 1068352 1201896 1602528 2136704 2403792 3205056 4273408 4807584 6410112 9615168 12820224 19230336 38460672