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38890404 = 22327374397
BaseRepresentation
bin1001010001011…
…0101110100100
32201011211121100
42110112232210
534423443104
63505320100
7651364050
oct224265644
981154540
1038890404
111aa52a33
1211036030
138098797
145244c60
153633139
hex2516ba4

38890404 has 144 divisors (see below), whose sum is σ = 119287168. Its totient is φ = 10450944.

The previous prime is 38890391. The next prime is 38890409. The reversal of 38890404 is 40409883.

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

It is not an unprimeable number, because it can be changed into a prime (38890409) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400884 + ... + 400980.

Almost surely, 238890404 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38890404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59643584).

38890404 is an abundant number, since it is smaller than the sum of its proper divisors (80396764).

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

38890404 is a wasteful number, since it uses less digits than its factorization.

38890404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 189 counting only the distinct ones).

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

The square root of 38890404 is about 6236.2171225832. The cubic root of 38890404 is about 338.8031854147.

Subtracting from 38890404 its product of nonzero digits (27648), we obtain a square (38862756 = 62342).

The spelling of 38890404 in words is "thirty-eight million, eight hundred ninety thousand, four hundred four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 43 63 74 84 86 97 111 126 129 148 172 194 222 252 258 259 291 301 333 387 388 444 516 518 582 602 666 679 774 777 873 903 1036 1164 1204 1332 1358 1548 1554 1591 1746 1806 2037 2331 2709 2716 3108 3182 3492 3589 3612 4074 4171 4662 4773 5418 6111 6364 7178 8148 8342 9324 9546 10767 10836 11137 12222 12513 14319 14356 16684 19092 21534 22274 24444 25026 25123 28638 29197 32301 33411 37539 43068 44548 50052 50246 57276 58394 64602 66822 75078 75369 87591 100233 100492 116788 129204 133644 150156 150738 154327 175182 200466 226107 262773 301476 308654 350364 400932 452214 462981 525546 617308 904428 925962 1051092 1080289 1388943 1851924 2160578 2777886 3240867 4321156 5555772 6481734 9722601 12963468 19445202 38890404