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38442936 = 2337239949
BaseRepresentation
bin1001001010100…
…1011110111000
32200100002210110
42102221132320
534320133221
63451544320
7644521350
oct222513670
980302713
1038442936
111a777824
1210a5b0a0
137c6cbcc
145169b60
153595776
hex24a97b8

38442936 has 64 divisors (see below), whose sum is σ = 114624000. Its totient is φ = 10505088.

The previous prime is 38442881. The next prime is 38442941. The reversal of 38442936 is 63924483.

38442936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 38442894 and 38442903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1111 + ... + 8838.

It is an arithmetic number, because the mean of its divisors is an integer number (1791000).

Almost surely, 238442936 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 38442936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57312000).

38442936 is an abundant number, since it is smaller than the sum of its proper divisors (76181064).

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

38442936 is a wasteful number, since it uses less digits than its factorization.

38442936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9988 (or 9984 counting only the distinct ones).

The product of its digits is 124416, while the sum is 39.

The square root of 38442936 is about 6200.2367696726. The cubic root of 38442936 is about 337.4987610380.

The spelling of 38442936 in words is "thirty-eight million, four hundred forty-two thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 69 84 92 138 161 168 184 276 322 483 552 644 966 1288 1932 3864 9949 19898 29847 39796 59694 69643 79592 119388 139286 208929 228827 238776 278572 417858 457654 557144 686481 835716 915308 1372962 1601789 1671432 1830616 2745924 3203578 4805367 5491848 6407156 9610734 12814312 19221468 38442936