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61246848 = 2731312269
BaseRepresentation
bin1110100110100…
…0110110000000
311021020122212210
43221220312000
5111134344343
610024422120
71342406145
oct351506600
9137218783
1061246848
1131632733
1218617940
13c8c5650
1481c43cc
15559c333
hex3a68d80

61246848 has 64 divisors (see below), whose sum is σ = 175215600. Its totient is φ = 18843648.

The previous prime is 61246847. The next prime is 61246859. The reversal of 61246848 is 84864216.

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 (39).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61246841) by changing a digit.

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, 1143 + ... + 11126.

Almost surely, 261246848 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 61246848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87607800).

61246848 is an abundant number, since it is smaller than the sum of its proper divisors (113968752).

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

61246848 is a wasteful number, since it uses less digits than its factorization.

61246848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12299 (or 12287 counting only the distinct ones).

The product of its digits is 73728, while the sum is 39.

The square root of 61246848 is about 7826.0365447652. The cubic root of 61246848 is about 394.1799962615.

The spelling of 61246848 in words is "sixty-one million, two hundred forty-six thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 12269 24538 36807 49076 73614 98152 147228 159497 196304 294456 318994 392608 478491 588912 637988 785216 956982 1177824 1275976 1570432 1913964 2355648 2551952 3827928 4711296 5103904 7655856 10207808 15311712 20415616 30623424 61246848