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399807552 = 2634914241
BaseRepresentation
bin10111110101001…
…001010001000000
31000212022022212010
4113311021101000
51304322320202
6103401132520
712623210454
oct2765112100
91025268763
10399807552
11195754371
12b1a8a140
1364aa4b21
143b154664
152517676c
hex17d49440

399807552 has 56 divisors (see below), whose sum is σ = 1060228512. Its totient is φ = 132966400.

The previous prime is 399807497. The next prime is 399807553. The reversal of 399807552 is 255708993.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (399807553) 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, 92152 + ... + 96392.

It is an arithmetic number, because the mean of its divisors is an integer number (18932652).

Almost surely, 2399807552 is an apocalyptic number.

399807552 is a gapful number since it is divisible by the number (32) 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 399807552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530114256).

399807552 is an abundant number, since it is smaller than the sum of its proper divisors (660420960).

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

399807552 is a wasteful number, since it uses less digits than its factorization.

399807552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4747 (or 4737 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 48.

The square root of 399807552 is about 19995.1882211696. The cubic root of 399807552 is about 736.6881166903.

The spelling of 399807552 in words is "three hundred ninety-nine million, eight hundred seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 491 982 1473 1964 2946 3928 4241 5892 7856 8482 11784 12723 15712 16964 23568 25446 31424 33928 47136 50892 67856 94272 101784 135712 203568 271424 407136 814272 2082331 4164662 6246993 8329324 12493986 16658648 24987972 33317296 49975944 66634592 99951888 133269184 199903776 399807552