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38720496 = 243839719
BaseRepresentation
bin1001001110110…
…1001111110000
32200212012112110
42103231033300
534403023441
63501525320
7650055513
oct223551760
980765473
1038720496
111a947311
1210b73840
138039349
1451dcd7a
1535ecb16
hex24ed3f0

38720496 has 40 divisors (see below), whose sum is σ = 101243520. Its totient is φ = 12750016.

The previous prime is 38720491. The next prime is 38720497. The reversal of 38720496 is 69402783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38720491) 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, 876 + ... + 8843.

It is an arithmetic number, because the mean of its divisors is an integer number (2531088).

Almost surely, 238720496 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 38720496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50621760).

38720496 is an abundant number, since it is smaller than the sum of its proper divisors (62523024).

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

38720496 is a wasteful number, since it uses less digits than its factorization.

38720496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9813 (or 9807 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The square root of 38720496 is about 6222.5795294235. The cubic root of 38720496 is about 338.3090668827.

The spelling of 38720496 in words is "thirty-eight million, seven hundred twenty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 83 166 249 332 498 664 996 1328 1992 3984 9719 19438 29157 38876 58314 77752 116628 155504 233256 466512 806677 1613354 2420031 3226708 4840062 6453416 9680124 12906832 19360248 38720496