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61232352 = 2534147331
BaseRepresentation
bin1110100110010…
…1010011100000
311021012220222220
43221211103200
5111133413402
610024231040
71342315656
oct351452340
9137186886
1061232352
1131622855
121860b480
13c8bbb7c
1481bcdd6
155597dbc
hex3a654e0

61232352 has 96 divisors (see below), whose sum is σ = 168666624. Its totient is φ = 19430400.

The previous prime is 61232341. The next prime is 61232357. The reversal of 61232352 is 25323216.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

Its product of digits (2160) is a multiple of the sum of its prime factors (432).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61232357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184827 + ... + 185157.

It is an arithmetic number, because the mean of its divisors is an integer number (1756944).

Almost surely, 261232352 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 61232352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84333312).

61232352 is an abundant number, since it is smaller than the sum of its proper divisors (107434272).

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

61232352 is a wasteful number, since it uses less digits than its factorization.

61232352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 424 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 61232352 is about 7825.1103506596. The cubic root of 61232352 is about 394.1488954279.

Adding to 61232352 its reverse (25323216), we get a palindrome (86555568).

The spelling of 61232352 in words is "sixty-one million, two hundred thirty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 47 48 82 94 96 123 141 164 188 246 282 328 331 376 492 564 656 662 752 984 993 1128 1312 1324 1504 1927 1968 1986 2256 2648 3854 3936 3972 4512 5296 5781 7708 7944 10592 11562 13571 15416 15557 15888 23124 27142 30832 31114 31776 40713 46248 46671 54284 61664 62228 81426 92496 93342 108568 124456 162852 184992 186684 217136 248912 325704 373368 434272 497824 637837 651408 746736 1275674 1302816 1493472 1913511 2551348 3827022 5102696 7654044 10205392 15308088 20410784 30616176 61232352