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61908192 = 253379907
BaseRepresentation
bin1110110000101…
…0010011100000
311022111021002000
43230022103200
5111322030232
610050524000
71351132233
oct354122340
9138437060
1061908192
1131a445a5
1218896600
13ca97688
14831741a
15567d27c
hex3b0a4e0

61908192 has 96 divisors (see below), whose sum is σ = 183052800. Its totient is φ = 20352384.

The previous prime is 61908179. The next prime is 61908199. The reversal of 61908192 is 29180916.

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 (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61908199) 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 15 ways as a sum of consecutive naturals, for example, 67803 + ... + 68709.

It is an arithmetic number, because the mean of its divisors is an integer number (1906800).

Almost surely, 261908192 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 61908192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91526400).

61908192 is an abundant number, since it is smaller than the sum of its proper divisors (121144608).

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

61908192 is a wasteful number, since it uses less digits than its factorization.

61908192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1005 (or 991 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 36.

The square root of 61908192 is about 7868.1759004232. The cubic root of 61908192 is about 395.5937063363.

The spelling of 61908192 in words is "sixty-one million, nine hundred eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 79 96 108 144 158 216 237 288 316 432 474 632 711 864 907 948 1264 1422 1814 1896 2133 2528 2721 2844 3628 3792 4266 5442 5688 7256 7584 8163 8532 10884 11376 14512 16326 17064 21768 22752 24489 29024 32652 34128 43536 48978 65304 68256 71653 87072 97956 130608 143306 195912 214959 261216 286612 391824 429918 573224 644877 783648 859836 1146448 1289754 1719672 1934631 2292896 2579508 3439344 3869262 5159016 6878688 7738524 10318032 15477048 20636064 30954096 61908192