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3938976 = 25334797
BaseRepresentation
bin1111000001101010100000
321102010021000
433001222200
52002021401
6220232000
745323616
oct17015240
97363230
103938976
112250458
12139b600
13a7bb72
147476b6
1552c186
hex3c1aa0

3938976 has 96 divisors (see below), whose sum is σ = 11854080. Its totient is φ = 1271808.

The previous prime is 3938971. The next prime is 3938981. The reversal of 3938976 is 6798393.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3938971) and next prime (3938981).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3938971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40560 + ... + 40656.

It is an arithmetic number, because the mean of its divisors is an integer number (123480).

Almost surely, 23938976 is an apocalyptic number.

3938976 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3938976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5927040).

3938976 is an abundant number, since it is smaller than the sum of its proper divisors (7915104).

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

3938976 is a wasteful number, since it uses less digits than its factorization.

3938976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 149 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 3938976 is about 1984.6853654925. The cubic root of 3938976 is about 157.9287185807.

The spelling of 3938976 in words is "three million, nine hundred thirty-eight thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 72 94 96 97 108 141 144 188 194 216 282 288 291 376 388 423 432 564 582 752 776 846 864 873 1128 1164 1269 1504 1552 1692 1746 2256 2328 2538 2619 3104 3384 3492 4512 4559 4656 5076 5238 6768 6984 9118 9312 10152 10476 13536 13677 13968 18236 20304 20952 27354 27936 36472 40608 41031 41904 54708 72944 82062 83808 109416 123093 145888 164124 218832 246186 328248 437664 492372 656496 984744 1312992 1969488 3938976