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38905416 = 23321149123
BaseRepresentation
bin1001010001101…
…0011001001000
32201012121012100
42110122121020
534424433131
63505513400
7651455604
oct224323110
981177170
1038905416
111aa63240
1211042860
1380a2574
14524a504
1536377e6
hex251a648

38905416 has 48 divisors (see below), whose sum is σ = 114950160. Its totient is φ = 11789280.

The previous prime is 38905393. The next prime is 38905417. The reversal of 38905416 is 61450983.

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

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (38905417) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23770 + ... + 25353.

It is an arithmetic number, because the mean of its divisors is an integer number (2394795).

Almost surely, 238905416 is an apocalyptic number.

38905416 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38905416 is an abundant number, since it is smaller than the sum of its proper divisors (76044744).

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

38905416 is a wasteful number, since it uses less digits than its factorization.

38905416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49146 (or 49139 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 38905416 is about 6237.4206207374. The cubic root of 38905416 is about 338.8467733662.

The spelling of 38905416 in words is "thirty-eight million, nine hundred five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 49123 98246 147369 196492 294738 392984 442107 540353 589476 884214 1080706 1178952 1621059 1768428 2161412 3242118 3536856 4322824 4863177 6484236 9726354 12968472 19452708 38905416