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74419968 = 2837109127
BaseRepresentation
bin1000110111110…
…00111100000000
312012000221000010
410123320330000
5123022414333
611215024520
71562362560
oct433707400
9165027003
1074419968
113900a907
1220b0b140
13125585ac
149c52da0
156800563
hex46f8f00

74419968 has 144 divisors (see below), whose sum is σ = 230236160. Its totient is φ = 20901888.

The previous prime is 74419957. The next prime is 74419991. The reversal of 74419968 is 86991447.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 585921 + ... + 586047.

Almost surely, 274419968 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 74419968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115118080).

74419968 is an abundant number, since it is smaller than the sum of its proper divisors (155816192).

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

74419968 is a wasteful number, since it uses less digits than its factorization.

74419968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 248 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 74419968 is about 8626.7008757694. The cubic root of 74419968 is about 420.6263669905.

The spelling of 74419968 in words is "seventy-four million, four hundred nineteen thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 109 112 127 128 168 192 218 224 254 256 327 336 381 384 436 448 508 654 672 762 763 768 872 889 896 1016 1308 1344 1524 1526 1744 1778 1792 2032 2289 2616 2667 2688 3048 3052 3488 3556 4064 4578 5232 5334 5376 6096 6104 6976 7112 8128 9156 10464 10668 12192 12208 13843 13952 14224 16256 18312 20928 21336 24384 24416 27686 27904 28448 32512 36624 41529 41856 42672 48768 48832 55372 56896 73248 83058 83712 85344 96901 97536 97664 110744 113792 146496 166116 170688 193802 195328 221488 227584 290703 292992 332232 341376 387604 442976 581406 585984 664464 682752 775208 885952 1162812 1328928 1550416 1771904 2325624 2657856 3100832 3543808 4651248 5315712 6201664 9302496 10631424 12403328 18604992 24806656 37209984 74419968