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38480442 = 237111343149
BaseRepresentation
bin1001001011001…
…0101000111010
32200102000020120
42102302220322
534322333232
63452434110
7645035610
oct222625072
980360216
1038480442
111a7a2a20
1210a78936
137c83cc0
1451796b0
1535a192c
hex24b2a3a

38480442 has 128 divisors (see below), whose sum is σ = 106444800. Its totient is φ = 8951040.

The previous prime is 38480437. The next prime is 38480443. The reversal of 38480442 is 24408483.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (38480443) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 258184 + ... + 258332.

It is an arithmetic number, because the mean of its divisors is an integer number (831600).

Almost surely, 238480442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38480442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53222400).

38480442 is an abundant number, since it is smaller than the sum of its proper divisors (67964358).

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

38480442 is a wasteful number, since it uses less digits than its factorization.

38480442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228.

The product of its (nonzero) digits is 24576, while the sum is 33.

The square root of 38480442 is about 6203.2605942359. The cubic root of 38480442 is about 337.6084830962.

The spelling of 38480442 in words is "thirty-eight million, four hundred eighty thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 43 66 77 78 86 91 129 143 149 154 182 231 258 273 286 298 301 429 447 462 473 546 559 602 858 894 903 946 1001 1043 1118 1419 1639 1677 1806 1937 2002 2086 2838 3003 3129 3278 3311 3354 3874 3913 4917 5811 6006 6149 6258 6407 6622 7826 9834 9933 11473 11622 11739 12298 12814 13559 18447 19221 19866 21307 22946 23478 27118 34419 36894 38442 40677 42614 43043 44849 63921 68838 70477 81354 83291 86086 89698 127842 129129 134547 140954 149149 166582 211431 249873 258258 269094 298298 422862 447447 493339 499746 583037 894894 916201 986678 1166074 1480017 1749111 1832402 2748603 2960034 3498222 5497206 6413407 12826814 19240221 38480442