Search a number
-
+
61316352 = 28342957
BaseRepresentation
bin1110100111100…
…1110100000000
311021101012020000
43221321310000
5111144110402
610030120000
71343115606
oct351716400
9137335200
1061316352
113167a979
1218650000
13c91b186
148201876
1555b2c1c
hex3a79d00

61316352 has 90 divisors (see below), whose sum is σ = 182896098. Its totient is φ = 20431872.

The previous prime is 61316347. The next prime is 61316369. The reversal of 61316352 is 25361316.

61316352 is a `hidden beast` number, since 613 + 16 + 35 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43877376 + 17438976 = 6624^2 + 4176^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 19258 + ... + 22214.

Almost surely, 261316352 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 61316352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91448049).

61316352 is an abundant number, since it is smaller than the sum of its proper divisors (121579746).

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

61316352 is an equidigital number, since it uses as much as digits as its factorization.

61316352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2985 (or 2962 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 61316352 is about 7830.4758476098. The cubic root of 61316352 is about 394.3290473573.

Adding to 61316352 its reverse (25361316), we get a palindrome (86677668).

The spelling of 61316352 in words is "sixty-one million, three hundred sixteen thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 576 648 768 864 1152 1296 1728 2304 2592 2957 3456 5184 5914 6912 8871 10368 11828 17742 20736 23656 26613 35484 47312 53226 70968 79839 94624 106452 141936 159678 189248 212904 239517 283872 319356 378496 425808 479034 567744 638712 756992 851616 958068 1135488 1277424 1703232 1916136 2270976 2554848 3406464 3832272 5109696 6812928 7664544 10219392 15329088 20438784 30658176 61316352