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38994480 = 2433572579
BaseRepresentation
bin1001010011000…
…0001000110000
32201101010101000
42110300020300
534440310410
63511442000
7652306350
oct224601060
981333330
1038994480
1120014148
1211086300
138103c75
145270b60
153653dc0
hex2530230

38994480 has 160 divisors (see below), whose sum is σ = 153561600. Its totient is φ = 8909568.

The previous prime is 38994467. The next prime is 38994503. The reversal of 38994480 is 8449983.

It is a happy number.

38994480 is a `hidden beast` number, since 3 + 89 + 94 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13831 + ... + 16409.

It is an arithmetic number, because the mean of its divisors is an integer number (959760).

Almost surely, 238994480 is an apocalyptic number.

38994480 is a gapful number since it is divisible by the number (30) 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 38994480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76780800).

38994480 is an abundant number, since it is smaller than the sum of its proper divisors (114567120).

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

38994480 is a wasteful number, since it uses less digits than its factorization.

38994480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2608 (or 2596 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 38994480 is about 6244.5560290544. The cubic root of 38994480 is about 339.1051439848.

The spelling of 38994480 in words is "thirty-eight million, nine hundred ninety-four thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 27 28 30 35 36 40 42 45 48 54 56 60 63 70 72 80 84 90 105 108 112 120 126 135 140 144 168 180 189 210 216 240 252 270 280 315 336 360 378 420 432 504 540 560 630 720 756 840 945 1008 1080 1260 1512 1680 1890 2160 2520 2579 3024 3780 5040 5158 7560 7737 10316 12895 15120 15474 18053 20632 23211 25790 30948 36106 38685 41264 46422 51580 54159 61896 69633 72212 77370 90265 92844 103160 108318 116055 123792 139266 144424 154740 162477 180530 185688 206320 216636 232110 270795 278532 288848 309480 324954 348165 361060 371376 433272 464220 487431 541590 557064 618960 649908 696330 722120 812385 866544 928440 974862 1083180 1114128 1299816 1392660 1444240 1624770 1856880 1949724 2166360 2437155 2599632 2785320 3249540 3899448 4332720 4874310 5570640 6499080 7798896 9748620 12998160 19497240 38994480