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38940480 = 263354507
BaseRepresentation
bin1001010010001…
…0111101000000
32201021101022000
42110202331000
534432043410
63510344000
7651663045
oct224427500
981241260
1038940480
111aa87617
121105b000
1380b5507
1452591cc
153642dc0
hex2522f40

38940480 has 112 divisors (see below), whose sum is σ = 137403840. Its totient is φ = 10381824.

The previous prime is 38940479. The next prime is 38940491. The reversal of 38940480 is 8404983.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6387 + ... + 10893.

It is an arithmetic number, because the mean of its divisors is an integer number (1226820).

Almost surely, 238940480 is an apocalyptic number.

38940480 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 38940480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68701920).

38940480 is an abundant number, since it is smaller than the sum of its proper divisors (98463360).

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

38940480 is a wasteful number, since it uses less digits than its factorization.

38940480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4533 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 38940480 is about 6240.2307649637. The cubic root of 38940480 is about 338.9485394515.

The spelling of 38940480 in words is "thirty-eight million, nine hundred forty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 135 144 160 180 192 216 240 270 288 320 360 432 480 540 576 720 864 960 1080 1440 1728 2160 2880 4320 4507 8640 9014 13521 18028 22535 27042 36056 40563 45070 54084 67605 72112 81126 90140 108168 121689 135210 144224 162252 180280 202815 216336 243378 270420 288448 324504 360560 405630 432672 486756 540840 608445 649008 721120 811260 865344 973512 1081680 1216890 1298016 1442240 1622520 1947024 2163360 2433780 2596032 3245040 3894048 4326720 4867560 6490080 7788096 9735120 12980160 19470240 38940480