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38538738 = 23272953199
BaseRepresentation
bin1001001100000…
…0110111110010
32200111222012200
42103000313302
534331214423
63454004030
7645400560
oct223006762
980458180
1038538738
111a8327a7
1210aa6616
137ca46b4
145192a30
1535b3d43
hex24c0df2

38538738 has 96 divisors (see below), whose sum is σ = 101088000. Its totient is φ = 10378368.

The previous prime is 38538713. The next prime is 38538743. The reversal of 38538738 is 83783583.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 38538693 and 38538702.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193563 + ... + 193761.

It is an arithmetic number, because the mean of its divisors is an integer number (1053000).

Almost surely, 238538738 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38538738, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50544000).

38538738 is an abundant number, since it is smaller than the sum of its proper divisors (62549262).

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

38538738 is a wasteful number, since it uses less digits than its factorization.

38538738 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 293 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 38538738 is about 6207.9576351647. The cubic root of 38538738 is about 337.7788838917.

The spelling of 38538738 in words is "thirty-eight million, five hundred thirty-eight thousand, seven hundred thirty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 53 58 63 87 106 126 159 174 199 203 261 318 371 398 406 477 522 597 609 742 954 1113 1194 1218 1393 1537 1791 1827 2226 2786 3074 3339 3582 3654 4179 4611 5771 6678 8358 9222 10547 10759 11542 12537 13833 17313 21094 21518 25074 27666 31641 32277 34626 40397 51939 63282 64554 73829 80794 94923 96831 103878 121191 147658 189846 193662 221487 242382 305863 363573 442974 611726 664461 727146 917589 1328922 1835178 2141041 2752767 4282082 5505534 6423123 12846246 19269369 38538738