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61738992 = 24327232663
BaseRepresentation
bin1110101110000…
…0111111110000
311022011122222100
43223200333300
5111301121432
610043140400
71346526030
oct353407760
9138148870
1061738992
1131939467
1218814700
13ca38663
1482b18c0
15564807c
hex3ae0ff0

61738992 has 120 divisors (see below), whose sum is σ = 206129664. Its totient is φ = 16866432.

The previous prime is 61738979. The next prime is 61739003. The reversal of 61738992 is 29983716.

It is a nude number because it is divisible by every one of its digits.

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, 21853 + ... + 24515.

Almost surely, 261738992 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 61738992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103064832).

61738992 is an abundant number, since it is smaller than the sum of its proper divisors (144390672).

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

61738992 is a wasteful number, since it uses less digits than its factorization.

61738992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2707 (or 2698 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 61738992 is about 7857.4163692654. The cubic root of 61738992 is about 395.2329811788.

The spelling of 61738992 in words is "sixty-one million, seven hundred thirty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 23 24 28 36 42 46 48 56 63 69 72 84 92 112 126 138 144 161 168 184 207 252 276 322 336 368 414 483 504 552 644 828 966 1008 1104 1288 1449 1656 1932 2576 2663 2898 3312 3864 5326 5796 7728 7989 10652 11592 15978 18641 21304 23184 23967 31956 37282 42608 47934 55923 61249 63912 74564 95868 111846 122498 127824 149128 167769 183747 191736 223692 244996 298256 335538 367494 383472 428743 447384 489992 551241 671076 734988 857486 894768 979984 1102482 1286229 1342152 1469976 1714972 2204964 2572458 2684304 2939952 3429944 3858687 4409928 5144916 6859888 7717374 8819856 10289832 15434748 20579664 30869496 61738992