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16361952 = 253414157
BaseRepresentation
bin111110011010…
…100111100000
31010210021101020
4332122213200
513142040302
61342405440
7256034325
oct76324740
933707336
1016361952
119265a82
125590880
13350b539
14225cb4c
151682ebc
hexf9a9e0

16361952 has 48 divisors (see below), whose sum is σ = 44008272. Its totient is φ = 5319680.

The previous prime is 16361951. The next prime is 16361953. The reversal of 16361952 is 25916361.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (16361951) and next prime (16361953).

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16361951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1858 + ... + 6014.

It is an arithmetic number, because the mean of its divisors is an integer number (916839).

Almost surely, 216361952 is an apocalyptic number.

16361952 is a gapful number since it is divisible by the number (12) 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 16361952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22004136).

16361952 is an abundant number, since it is smaller than the sum of its proper divisors (27646320).

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

16361952 is a wasteful number, since it uses less digits than its factorization.

16361952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4211 (or 4203 counting only the distinct ones).

The product of its digits is 9720, while the sum is 33.

The square root of 16361952 is about 4044.9909765042. The cubic root of 16361952 is about 253.8701880754.

The spelling of 16361952 in words is "sixteen million, three hundred sixty-one thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 82 96 123 164 246 328 492 656 984 1312 1968 3936 4157 8314 12471 16628 24942 33256 49884 66512 99768 133024 170437 199536 340874 399072 511311 681748 1022622 1363496 2045244 2726992 4090488 5453984 8180976 16361952