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38844064 = 25733539
BaseRepresentation
bin1001010000101…
…1011010100000
32201002111001001
42110023122200
534421002224
63504321344
7651112000
oct224133240
981074031
1038844064
111aa21136
1211013254
13808066c
145232000
153624544
hex250b6a0

38844064 has 48 divisors (see below), whose sum is σ = 89208000. Its totient is φ = 16642752.

The previous prime is 38844061. The next prime is 38844067. The reversal of 38844064 is 46044883.

It is an interprime number because it is at equal distance from previous prime (38844061) and next prime (38844067).

It is a super-2 number, since 2×388440642 = 3017722616072192, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38844061) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9207 + ... + 12745.

It is an arithmetic number, because the mean of its divisors is an integer number (1858500).

Almost surely, 238844064 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 38844064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44604000).

38844064 is an abundant number, since it is smaller than the sum of its proper divisors (50363936).

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

38844064 is an equidigital number, since it uses as much as digits as its factorization.

38844064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3570 (or 3548 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 37.

The square root of 38844064 is about 6232.5006217408. The cubic root of 38844064 is about 338.6685645487.

The spelling of 38844064 in words is "thirty-eight million, eight hundred forty-four thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 112 196 224 343 392 686 784 1372 1568 2744 3539 5488 7078 10976 14156 24773 28312 49546 56624 99092 113248 173411 198184 346822 396368 693644 792736 1213877 1387288 2427754 2774576 4855508 5549152 9711016 19422032 38844064