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38287914 = 2372314201
BaseRepresentation
bin1001001000001…
…1101000101010
32200001020010220
42102003220222
534300203124
63444350510
7643304400
oct222035052
980036126
1038287914
111a681305
12109a5436
137c17492
145129470
153564879
hex2483a2a

38287914 has 48 divisors (see below), whose sum is σ = 91973376. Its totient is φ = 10584000.

The previous prime is 38287913. The next prime is 38287943. The reversal of 38287914 is 41978283.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (38287913) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7014 + ... + 11214.

It is an arithmetic number, because the mean of its divisors is an integer number (1916112).

Almost surely, 238287914 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38287914, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45986688).

38287914 is an abundant number, since it is smaller than the sum of its proper divisors (53685462).

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

38287914 is a wasteful number, since it uses less digits than its factorization.

38287914 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4251 (or 4244 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The square root of 38287914 is about 6187.7228444719. The cubic root of 38287914 is about 337.0444927710.

The spelling of 38287914 in words is "thirty-eight million, two hundred eighty-seven thousand, nine hundred fourteen".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 434 651 1302 1519 3038 4201 4557 8402 9114 12603 25206 29407 58814 88221 130231 176442 205849 260462 390693 411698 617547 781386 911617 1235094 1823234 2734851 5469702 6381319 12762638 19143957 38287914