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399949696 = 2719473499
BaseRepresentation
bin10111110101101…
…011111110000000
31000212120112211201
4113311223332000
51304341342241
6103404150544
712624342046
oct2765537600
91025515751
10399949696
11195841143
12b1b38454
1364b24733
143b190396
15251a3931
hex17d6bf80

399949696 has 64 divisors (see below), whose sum is σ = 856800000. Its totient is φ = 185366016.

The previous prime is 399949679. The next prime is 399949729. The reversal of 399949696 is 696949993.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 112555 + ... + 116053.

It is an arithmetic number, because the mean of its divisors is an integer number (13387500).

Almost surely, 2399949696 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 399949696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428400000).

399949696 is an abundant number, since it is smaller than the sum of its proper divisors (456850304).

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

399949696 is a wasteful number, since it uses less digits than its factorization.

399949696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3579 (or 3567 counting only the distinct ones).

The product of its digits is 25509168, while the sum is 64.

The square root of 399949696 is about 19998.7423604586. The cubic root of 399949696 is about 736.7754115131.

The spelling of 399949696 in words is "three hundred ninety-nine million, nine hundred forty-nine thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 47 64 76 94 128 152 188 304 376 608 752 893 1216 1504 1786 2432 3008 3499 3572 6016 6998 7144 13996 14288 27992 28576 55984 57152 66481 111968 114304 132962 164453 223936 265924 328906 447872 531848 657812 1063696 1315624 2127392 2631248 3124607 4254784 5262496 6249214 8509568 10524992 12498428 21049984 24996856 49993712 99987424 199974848 399949696