[go: up one dir, main page]

Search a number
-
+
61426880 = 2651391381
BaseRepresentation
bin1110101001010…
…0110011000000
311021120210211122
43222110303000
5111211130010
610032331412
71344056054
oct352246300
9137523748
1061426880
1131745a19
12186a3b68
13c959588
14822dc64
1555d5855
hex3a94cc0

61426880 has 56 divisors (see below), whose sum is σ = 147431760. Its totient is φ = 24376320.

The previous prime is 61426877. The next prime is 61426907. The reversal of 61426880 is 8862416.

It is a self number, because there is not a number n which added to its sum of digits gives 61426880.

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, 43790 + ... + 45170.

It is an arithmetic number, because the mean of its divisors is an integer number (2632710).

Almost surely, 261426880 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 61426880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73715880).

61426880 is an abundant number, since it is smaller than the sum of its proper divisors (86004880).

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

61426880 is a wasteful number, since it uses less digits than its factorization.

61426880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1537 (or 1527 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 35.

The square root of 61426880 is about 7837.5302232272. The cubic root of 61426880 is about 394.5658424781.

The spelling of 61426880 in words is "sixty-one million, four hundred twenty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 139 160 278 320 556 695 1112 1381 1390 2224 2762 2780 4448 5524 5560 6905 8896 11048 11120 13810 22096 22240 27620 44192 44480 55240 88384 110480 191959 220960 383918 441920 767836 959795 1535672 1919590 3071344 3839180 6142688 7678360 12285376 15356720 30713440 61426880