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38978816 = 281071423
BaseRepresentation
bin1001010010110…
…0010100000000
32201100022212212
42110230110000
534434310231
63511241252
7652212602
oct224542400
981308785
1038978816
11200033a8
1211079228
1380c9ab6
145269172
15364e42b
hex252c500

38978816 has 36 divisors (see below), whose sum is σ = 78587712. Its totient is φ = 19293696.

The previous prime is 38978809. The next prime is 38978827. The reversal of 38978816 is 61887983.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26681 + ... + 28103.

It is an arithmetic number, because the mean of its divisors is an integer number (2182992).

Almost surely, 238978816 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 38978816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39293856).

38978816 is an abundant number, since it is smaller than the sum of its proper divisors (39608896).

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

38978816 is a wasteful number, since it uses less digits than its factorization.

38978816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1546 (or 1532 counting only the distinct ones).

The product of its digits is 580608, while the sum is 50.

The square root of 38978816 is about 6243.3016906121. The cubic root of 38978816 is about 339.0597319643.

The spelling of 38978816 in words is "thirty-eight million, nine hundred seventy-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 107 128 214 256 428 856 1423 1712 2846 3424 5692 6848 11384 13696 22768 27392 45536 91072 152261 182144 304522 364288 609044 1218088 2436176 4872352 9744704 19489408 38978816