Search a number
-
+
61894848 = 2633110399
BaseRepresentation
bin1110110000011…
…1000011000000
311022110120202210
43230013003000
5111321113343
610050342120
71351045311
oct354070300
9138416683
1061894848
1131a35574
121888a940
13ca91592
148312608
155679333
hex3b070c0

61894848 has 56 divisors (see below), whose sum is σ = 169062400. Its totient is φ = 19964160.

The previous prime is 61894823. The next prime is 61894873. The reversal of 61894848 is 84849816.

It is an interprime number because it is at equal distance from previous prime (61894823) and next prime (61894873).

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

It is a junction number, because it is equal to n+sod(n) for n = 61894797 and 61894806.

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, 753 + ... + 11151.

Almost surely, 261894848 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 61894848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84531200).

61894848 is an abundant number, since it is smaller than the sum of its proper divisors (107167552).

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

61894848 is a wasteful number, since it uses less digits than its factorization.

61894848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10445 (or 10435 counting only the distinct ones).

The product of its digits is 442368, while the sum is 48.

The square root of 61894848 is about 7867.3278818160. The cubic root of 61894848 is about 395.5652815481.

The spelling of 61894848 in words is "sixty-one million, eight hundred ninety-four thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 372 496 744 992 1488 1984 2976 5952 10399 20798 31197 41596 62394 83192 124788 166384 249576 322369 332768 499152 644738 665536 967107 998304 1289476 1934214 1996608 2578952 3868428 5157904 7736856 10315808 15473712 20631616 30947424 61894848