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61998816 = 2531158711
BaseRepresentation
bin1110110010000…
…0011011100000
311022122212101110
43230200123200
5111332430231
610052503320
71351660365
oct354403340
9138585343
1061998816
1131aa66a0
121891ab40
13cac99b9
14833c46c
15569a046
hex3b206e0

61998816 has 48 divisors (see below), whose sum is σ = 177545088. Its totient is φ = 18787200.

The previous prime is 61998799. The next prime is 61998841. The reversal of 61998816 is 61889916.

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

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28300 + ... + 30411.

It is an arithmetic number, because the mean of its divisors is an integer number (3698856).

Almost surely, 261998816 is an apocalyptic number.

61998816 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

61998816 is an abundant number, since it is smaller than the sum of its proper divisors (115546272).

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

61998816 is a wasteful number, since it uses less digits than its factorization.

61998816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58735 (or 58727 counting only the distinct ones).

The product of its digits is 186624, while the sum is 48.

The square root of 61998816 is about 7873.9326895777. The cubic root of 61998816 is about 395.7866415199.

Subtracting from 61998816 its reverse (61889916), we obtain a square (108900 = 3302).

The spelling of 61998816 in words is "sixty-one million, nine hundred ninety-eight thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 58711 117422 176133 234844 352266 469688 645821 704532 939376 1291642 1409064 1878752 1937463 2583284 2818128 3874926 5166568 5636256 7749852 10333136 15499704 20666272 30999408 61998816