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61016448 = 273198363
BaseRepresentation
bin1110100011000…
…0100110000000
311020210221211110
43220300212000
5111110011243
610015443320
71340426343
oct350604600
9136727743
1061016448
1131495619
1218526540
13c84480c
14816445a
155553e33
hex3a30980

61016448 has 64 divisors (see below), whose sum is σ = 170625600. Its totient is φ = 19266048.

The previous prime is 61016419. The next prime is 61016453. The reversal of 61016448 is 84461016.

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

It is a congruent 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, 3115 + ... + 11477.

It is an arithmetic number, because the mean of its divisors is an integer number (2666025).

Almost surely, 261016448 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 61016448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85312800).

61016448 is an abundant number, since it is smaller than the sum of its proper divisors (109609152).

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

61016448 is a wasteful number, since it uses less digits than its factorization.

61016448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8399 (or 8387 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 61016448 is about 7811.3025802359. The cubic root of 61016448 is about 393.6850962813.

The spelling of 61016448 in words is "sixty-one million, sixteen thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 96 114 128 152 192 228 304 384 456 608 912 1216 1824 2432 3648 7296 8363 16726 25089 33452 50178 66904 100356 133808 158897 200712 267616 317794 401424 476691 535232 635588 802848 953382 1070464 1271176 1605696 1906764 2542352 3211392 3813528 5084704 7627056 10169408 15254112 20338816 30508224 61016448