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38720484 = 22331122963
BaseRepresentation
bin1001001110110…
…1001111100100
32200212012112000
42103231033210
534403023414
63501525300
7650055465
oct223551744
980765460
1038720484
111a947300
1210b73830
13803933a
1451dcd6c
1535ecb09
hex24ed3e4

38720484 has 72 divisors (see below), whose sum is σ = 110379360. Its totient is φ = 11729520.

The previous prime is 38720483. The next prime is 38720491. The reversal of 38720484 is 48402783.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (38720483) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11587 + ... + 14549.

Almost surely, 238720484 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 38720484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55189680).

38720484 is an abundant number, since it is smaller than the sum of its proper divisors (71658876).

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

38720484 is a wasteful number, since it uses less digits than its factorization.

38720484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2998 (or 2979 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 38720484 is about 6222.5785651931. The cubic root of 38720484 is about 338.3090319338.

It can be divided in two parts, 38720 and 484, that added together give a square (39204 = 1982).

The spelling of 38720484 in words is "thirty-eight million, seven hundred twenty thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1188 1452 2178 2963 3267 4356 5926 6534 8889 11852 13068 17778 26667 32593 35556 53334 65186 80001 97779 106668 130372 160002 195558 293337 320004 358523 391116 586674 717046 880011 1075569 1173348 1434092 1760022 2151138 3226707 3520044 4302276 6453414 9680121 12906828 19360242 38720484