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61224152 = 23114171239
BaseRepresentation
bin1110100110001…
…1010011011000
311021012111202012
43221203103120
5111133133102
610024125052
71342253033
oct351432330
9137174665
1061224152
1131617680
1218606788
13c8b8212
1481ba01a
155595752
hex3a634d8

61224152 has 64 divisors (see below), whose sum is σ = 130636800. Its totient is φ = 26656000.

The previous prime is 61224143. The next prime is 61224161. The reversal of 61224152 is 25142216.

It is a happy number.

61224152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61224143) and next prime (61224161).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 256049 + ... + 256287.

It is an arithmetic number, because the mean of its divisors is an integer number (2041200).

Almost surely, 261224152 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 61224152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65318400).

61224152 is an abundant number, since it is smaller than the sum of its proper divisors (69412648).

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

61224152 is a wasteful number, since it uses less digits than its factorization.

61224152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368 (or 364 counting only the distinct ones).

The product of its digits is 960, while the sum is 23.

The square root of 61224152 is about 7824.5863788446. The cubic root of 61224152 is about 394.1313003434.

Adding to 61224152 its reverse (25142216), we get a palindrome (86366368).

The spelling of 61224152 in words is "sixty-one million, two hundred twenty-four thousand, one hundred fifty-two".

Divisors: 1 2 4 8 11 22 41 44 71 82 88 142 164 239 284 328 451 478 568 781 902 956 1562 1804 1912 2629 2911 3124 3608 5258 5822 6248 9799 10516 11644 16969 19598 21032 23288 32021 33938 39196 64042 67876 78392 107789 128084 135752 186659 215578 256168 373318 431156 695729 746636 862312 1391458 1493272 2782916 5565832 7653019 15306038 30612076 61224152