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38973696 = 283311637
BaseRepresentation
bin1001010010101…
…1000100000000
32201100001212020
42110223010000
534434124241
63511201440
7652161636
oct224530400
981301766
1038973696
111aaaa573
1211076280
1380c7678
145267356
15364cb66
hex252b100

38973696 has 72 divisors (see below), whose sum is σ = 107138304. Its totient is φ = 12564480.

The previous prime is 38973667. The next prime is 38973719. The reversal of 38973696 is 69637983.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22990 + ... + 24626.

It is an arithmetic number, because the mean of its divisors is an integer number (1488032).

Almost surely, 238973696 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 38973696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53569152).

38973696 is an abundant number, since it is smaller than the sum of its proper divisors (68164608).

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

38973696 is a wasteful number, since it uses less digits than its factorization.

38973696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1687 (or 1673 counting only the distinct ones).

The product of its digits is 1469664, while the sum is 51.

The square root of 38973696 is about 6242.8916376948. The cubic root of 38973696 is about 339.0448857648.

The spelling of 38973696 in words is "thirty-eight million, nine hundred seventy-three thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 256 372 384 496 744 768 992 1488 1637 1984 2976 3274 3968 4911 5952 6548 7936 9822 11904 13096 19644 23808 26192 39288 50747 52384 78576 101494 104768 152241 157152 202988 209536 304482 314304 405976 419072 608964 628608 811952 1217928 1257216 1623904 2435856 3247808 4871712 6495616 9743424 12991232 19486848 38973696