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74463144 = 23372232753
BaseRepresentation
bin1000111000000…
…11011110101000
312012010010020020
410130003132220
5123030310034
611220000440
71562632500
oct434033650
9165103206
1074463144
113903a298
1220b30120
1312572142
149c64a00
15680d249
hex47037a8

74463144 has 96 divisors (see below), whose sum is σ = 226048320. Its totient is φ = 20342784.

The previous prime is 74463131. The next prime is 74463149. The reversal of 74463144 is 44136447.

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

It is not an unprimeable number, because it can be changed into a prime (74463149) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25672 + ... + 28424.

It is an arithmetic number, because the mean of its divisors is an integer number (2354670).

Almost surely, 274463144 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 74463144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113024160).

74463144 is an abundant number, since it is smaller than the sum of its proper divisors (151585176).

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

74463144 is a wasteful number, since it uses less digits than its factorization.

74463144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2799 (or 2788 counting only the distinct ones).

The product of its digits is 32256, while the sum is 33.

The square root of 74463144 is about 8629.2029759416. The cubic root of 74463144 is about 420.7076957589.

The spelling of 74463144 in words is "seventy-four million, four hundred sixty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 49 56 69 84 92 98 138 147 161 168 184 196 276 294 322 392 483 552 588 644 966 1127 1176 1288 1932 2254 2753 3381 3864 4508 5506 6762 8259 9016 11012 13524 16518 19271 22024 27048 33036 38542 57813 63319 66072 77084 115626 126638 134897 154168 189957 231252 253276 269794 379914 404691 443233 462504 506552 539588 759828 809382 886466 1079176 1329699 1519656 1618764 1772932 2659398 3102631 3237528 3545864 5318796 6205262 9307893 10637592 12410524 18615786 24821048 37231572 74463144