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61417044 = 223213196907
BaseRepresentation
bin1110101001001…
…0011001010100
311021120022100100
43222102121110
5111210321134
610032214100
71344015303
oct352223124
9137508310
1061417044
1131739597
121869a330
13c954c60
14822a43a
1555d2999
hex3a92654

61417044 has 72 divisors (see below), whose sum is σ = 176015840. Its totient is φ = 17900352.

The previous prime is 61417033. The next prime is 61417067. The reversal of 61417044 is 44071416.

61417044 is a `hidden beast` number, since 614 + 1 + 7 + 0 + 44 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 61416999 and 61417017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5439 + ... + 12345.

Almost surely, 261417044 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 61417044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88007920).

61417044 is an abundant number, since it is smaller than the sum of its proper divisors (114598796).

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

61417044 is a wasteful number, since it uses less digits than its factorization.

61417044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6949 (or 6944 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 61417044 is about 7836.9027045128. The cubic root of 61417044 is about 394.5447813574.

The spelling of 61417044 in words is "sixty-one million, four hundred seventeen thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1482 2223 2964 4446 6907 8892 13814 20721 27628 41442 62163 82884 89791 124326 131233 179582 248652 262466 269373 359164 393699 524932 538746 787398 808119 1077492 1181097 1574796 1616238 1706029 2362194 3232476 3412058 4724388 5118087 6824116 10236174 15354261 20472348 30708522 61417044