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61840842 = 2373151199
BaseRepresentation
bin1110101111100…
…1110111001010
311022100211200120
43223321313022
5111312401332
610045244110
71350432000
oct353716712
9138324616
1061840842
11319a8a38
1218863636
13ca72b1b
1482daa70
15566832c
hex3af9dca

61840842 has 64 divisors (see below), whose sum is σ = 145920000. Its totient is φ = 17463600.

The previous prime is 61840829. The next prime is 61840843. The reversal of 61840842 is 24804816.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61840843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310659 + ... + 310857.

It is an arithmetic number, because the mean of its divisors is an integer number (2280000).

Almost surely, 261840842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61840842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72960000).

61840842 is an abundant number, since it is smaller than the sum of its proper divisors (84079158).

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

61840842 is a wasteful number, since it uses less digits than its factorization.

61840842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The square root of 61840842 is about 7863.8948365298. The cubic root of 61840842 is about 395.4501986527.

The spelling of 61840842 in words is "sixty-one million, eight hundred forty thousand, eight hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 151 199 294 302 343 398 453 597 686 906 1029 1057 1194 1393 2058 2114 2786 3171 4179 6342 7399 8358 9751 14798 19502 22197 29253 30049 44394 51793 58506 60098 68257 90147 103586 136514 155379 180294 204771 210343 310758 409542 420686 631029 1262058 1472401 2944802 4417203 8834406 10306807 20613614 30920421 61840842