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61202952 = 2335191657
BaseRepresentation
bin1110100101111…
…0001000001000
311021011102200000
43221132020020
5111131443302
610023443000
71342134156
oct351361010
9137142600
1061202952
1131602758
12185b6460
13c8ab685
1481b23d6
15558e31c
hex3a5e208

61202952 has 96 divisors (see below), whose sum is σ = 181053600. Its totient is φ = 19315584.

The previous prime is 61202929. The next prime is 61202957. The reversal of 61202952 is 25920216.

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

It is not an unprimeable number, because it can be changed into a prime (61202957) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 36108 + ... + 37764.

It is an arithmetic number, because the mean of its divisors is an integer number (1885975).

Almost surely, 261202952 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 61202952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90526800).

61202952 is an abundant number, since it is smaller than the sum of its proper divisors (119850648).

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

61202952 is a wasteful number, since it uses less digits than its factorization.

61202952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1697 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 61202952 is about 7823.2315573553. The cubic root of 61202952 is about 394.0858033301.

The spelling of 61202952 in words is "sixty-one million, two hundred two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 27 36 38 54 57 72 76 81 108 114 152 162 171 216 228 243 324 342 456 486 513 648 684 972 1026 1368 1539 1657 1944 2052 3078 3314 4104 4617 4971 6156 6628 9234 9942 12312 13256 14913 18468 19884 29826 31483 36936 39768 44739 59652 62966 89478 94449 119304 125932 134217 178956 188898 251864 268434 283347 357912 377796 402651 536868 566694 755592 805302 850041 1073736 1133388 1610604 1700082 2266776 2550123 3221208 3400164 5100246 6800328 7650369 10200492 15300738 20400984 30601476 61202952