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38449440 = 2532526701
BaseRepresentation
bin1001001010101…
…1000100100000
32200100102201100
42102223010200
534320340230
63452034400
7644546331
oct222530440
980312640
1038449440
111a7816a7
1210a62a00
137c72b63
14516c288
153597660
hex24ab120

38449440 has 72 divisors (see below), whose sum is σ = 131213628. Its totient is φ = 10252800.

The previous prime is 38449429. The next prime is 38449441. The reversal of 38449440 is 4494483.

It can be written as a sum of positive squares in 2 ways, for example, as 34433424 + 4016016 = 5868^2 + 2004^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a junction number, because it is equal to n+sod(n) for n = 38449395 and 38449404.

It is not an unprimeable number, because it can be changed into a prime (38449441) 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, 11911 + ... + 14790.

Almost surely, 238449440 is an apocalyptic number.

38449440 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38449440 is an abundant number, since it is smaller than the sum of its proper divisors (92764188).

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

38449440 is a wasteful number, since it uses less digits than its factorization.

38449440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26722 (or 26711 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 38449440 is about 6200.7612435894. The cubic root of 38449440 is about 337.5177933006.

The spelling of 38449440 in words is "thirty-eight million, four hundred forty-nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 26701 53402 80103 106804 133505 160206 213608 240309 267010 320412 400515 427216 480618 534020 640824 801030 854432 961236 1068040 1201545 1281648 1602060 1922472 2136080 2403090 2563296 3204120 3844944 4272160 4806180 6408240 7689888 9612360 12816480 19224720 38449440