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38606442 = 23719101479
BaseRepresentation
bin1001001101000…
…1011001101010
32200122102002020
42103101121222
534340401232
63455245310
7646102140
oct223213152
980572066
1038606442
111a879656
1210b19836
137cc9464
1451ad590
1535c8e2c
hex24d166a

38606442 has 64 divisors (see below), whose sum is σ = 94003200. Its totient is φ = 10324800.

The previous prime is 38606339. The next prime is 38606467. The reversal of 38606442 is 24460683.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 80359 + ... + 80837.

It is an arithmetic number, because the mean of its divisors is an integer number (1468800).

Almost surely, 238606442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38606442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47001600).

38606442 is an abundant number, since it is smaller than the sum of its proper divisors (55396758).

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

38606442 is a wasteful number, since it uses less digits than its factorization.

38606442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611.

The product of its (nonzero) digits is 27648, while the sum is 33.

The square root of 38606442 is about 6213.4082434683. The cubic root of 38606442 is about 337.9765689907.

The spelling of 38606442 in words is "thirty-eight million, six hundred six thousand, four hundred forty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 101 114 133 202 266 303 399 479 606 707 798 958 1414 1437 1919 2121 2874 3353 3838 4242 5757 6706 9101 10059 11514 13433 18202 20118 26866 27303 40299 48379 54606 63707 80598 96758 127414 145137 191121 290274 338653 382242 677306 919201 1015959 1838402 2031918 2757603 5515206 6434407 12868814 19303221 38606442