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38497248 = 2533172621
BaseRepresentation
bin1001001011011…
…0101111100000
32200102212022000
42102312233200
534323402443
63453044000
7645135606
oct222665740
980385260
1038497248
111a804609
1210a86600
137c8b84a
145181876
1535a68d3
hex24b6be0

38497248 has 96 divisors (see below), whose sum is σ = 118933920. Its totient is φ = 12072960.

The previous prime is 38497243. The next prime is 38497259. The reversal of 38497248 is 84279483.

38497248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38497241) by changing a digit.

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, 13378 + ... + 15998.

It is an arithmetic number, because the mean of its divisors is an integer number (1238895).

Almost surely, 238497248 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 38497248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59466960).

38497248 is an abundant number, since it is smaller than the sum of its proper divisors (80436672).

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

38497248 is a wasteful number, since it uses less digits than its factorization.

38497248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2657 (or 2643 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 38497248 is about 6204.6150565527. The cubic root of 38497248 is about 337.6576251371.

The spelling of 38497248 in words is "thirty-eight million, four hundred ninety-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 2621 3672 4896 5242 7344 7863 10484 14688 15726 20968 23589 31452 41936 44557 47178 62904 70767 83872 89114 94356 125808 133671 141534 178228 188712 251616 267342 283068 356456 377424 401013 534684 566136 712912 754848 802026 1069368 1132272 1203039 1425824 1604052 2138736 2264544 2406078 3208104 4277472 4812156 6416208 9624312 12832416 19248624 38497248