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38982976 = 262371373
BaseRepresentation
bin1001010010110…
…1010101000000
32201100112120221
42110231111000
534434423401
63511312424
7652230664
oct224552500
981315527
1038982976
112000653a
121107b714
1380cb966
14526a8a4
1536507a1
hex252d540

38982976 has 56 divisors (see below), whose sum is σ = 82076544. Its totient is φ = 18332160.

The previous prime is 38982973. The next prime is 38983001. The reversal of 38982976 is 67928983.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38982973) 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, 104326 + ... + 104698.

Almost surely, 238982976 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 38982976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41038272).

38982976 is an abundant number, since it is smaller than the sum of its proper divisors (43093568).

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

38982976 is a wasteful number, since it uses less digits than its factorization.

38982976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 469 counting only the distinct ones).

The product of its digits is 1306368, while the sum is 52.

The square root of 38982976 is about 6243.6348387778. The cubic root of 38982976 is about 339.0717935442.

The spelling of 38982976 in words is "thirty-eight million, nine hundred eighty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 23 32 46 64 71 92 142 184 284 368 373 568 736 746 1136 1472 1492 1633 2272 2984 3266 4544 5968 6532 8579 11936 13064 17158 23872 26128 26483 34316 52256 52966 68632 104512 105932 137264 211864 274528 423728 549056 609109 847456 1218218 1694912 2436436 4872872 9745744 19491488 38982976