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38231648 = 2571319691
BaseRepresentation
bin1001000111010…
…1111001100000
32122221100221222
42101311321200
534241403043
63443234212
7642651350
oct221657140
978840858
1038231648
111a643004
1210978968
137bc79a0
145112b60
153552d68
hex2475e60

38231648 has 96 divisors (see below), whose sum is σ = 97655040. Its totient is φ = 14307840.

The previous prime is 38231621. The next prime is 38231651. The reversal of 38231648 is 84613283.

It is a happy number.

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, 54983 + ... + 55673.

It is an arithmetic number, because the mean of its divisors is an integer number (1017240).

Almost surely, 238231648 is an apocalyptic number.

38231648 is a gapful number since it is divisible by the number (38) 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 38231648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48827520).

38231648 is an abundant number, since it is smaller than the sum of its proper divisors (59423392).

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

38231648 is a wasteful number, since it uses less digits than its factorization.

38231648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 732 counting only the distinct ones).

The product of its digits is 27648, while the sum is 35.

The square root of 38231648 is about 6183.1745891573. The cubic root of 38231648 is about 336.8793105971.

The spelling of 38231648 in words is "thirty-eight million, two hundred thirty-one thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 13 14 16 19 26 28 32 38 52 56 76 91 104 112 133 152 182 208 224 247 266 304 364 416 494 532 608 691 728 988 1064 1382 1456 1729 1976 2128 2764 2912 3458 3952 4256 4837 5528 6916 7904 8983 9674 11056 13129 13832 17966 19348 22112 26258 27664 35932 38696 52516 55328 62881 71864 77392 91903 105032 125762 143728 154784 170677 183806 210064 251524 287456 341354 367612 420128 503048 682708 735224 1006096 1194739 1365416 1470448 2012192 2389478 2730832 2940896 4778956 5461664 9557912 19115824 38231648