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61452352 = 2613233317
BaseRepresentation
bin1110101001101…
…1000001000000
311021122002210001
43222123001000
5111212433402
610033045344
71344223243
oct352330100
9137562701
1061452352
1131763075
12186b6854
13c968050
14823925a
1555dd187
hex3a9b040

61452352 has 56 divisors (see below), whose sum is σ = 132304536. Its totient is φ = 28151808.

The previous prime is 61452341. The next prime is 61452353. The reversal of 61452352 is 25325416.

It can be written as a sum of positive squares in 4 ways, for example, as 3326976 + 58125376 = 1824^2 + 7624^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 61452352.

It is not an unprimeable number, because it can be changed into a prime (61452353) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 193698 + ... + 194014.

It is an arithmetic number, because the mean of its divisors is an integer number (2362581).

Almost surely, 261452352 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 61452352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66152268).

61452352 is an abundant number, since it is smaller than the sum of its proper divisors (70852184).

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

61452352 is a wasteful number, since it uses less digits than its factorization.

61452352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 575 (or 565 counting only the distinct ones).

The product of its digits is 7200, while the sum is 28.

The square root of 61452352 is about 7839.1550565096. The cubic root of 61452352 is about 394.6203733949.

Adding to 61452352 its reverse (25325416), we get a palindrome (86777768).

The spelling of 61452352 in words is "sixty-one million, four hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 233 317 416 466 634 832 932 1268 1864 2536 3029 3728 4121 5072 6058 7456 8242 10144 12116 14912 16484 20288 24232 32968 48464 65936 73861 96928 131872 147722 193856 263744 295444 590888 960193 1181776 1920386 2363552 3840772 4727104 7681544 15363088 30726176 61452352