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74387456 = 2121113127
BaseRepresentation
bin1000110111100…
…01000000000000
312011222021101222
410123301000000
5123020344311
611214214212
71562166023
oct433610000
9164867358
1074387456
1138a98440
1220ab4368
1312546860
149c451ba
1567e5adb
hex46f1000

74387456 has 104 divisors (see below), whose sum is σ = 176139264. Its totient is φ = 30965760.

The previous prime is 74387447. The next prime is 74387459. The reversal of 74387456 is 65478347.

It is a tau number, because it is divible by the number of its divisors (104).

It is a super-2 number, since 2×743874562 = 11066987220303872, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74387459) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 585665 + ... + 585791.

Almost surely, 274387456 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 74387456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88069632).

74387456 is an abundant number, since it is smaller than the sum of its proper divisors (101751808).

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

74387456 is a wasteful number, since it uses less digits than its factorization.

74387456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175 (or 153 counting only the distinct ones).

The product of its digits is 564480, while the sum is 44.

The square root of 74387456 is about 8624.8162878985. The cubic root of 74387456 is about 420.5651047748.

The spelling of 74387456 in words is "seventy-four million, three hundred eighty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 104 127 128 143 176 208 254 256 286 352 416 508 512 572 704 832 1016 1024 1144 1397 1408 1651 1664 2032 2048 2288 2794 2816 3302 3328 4064 4096 4576 5588 5632 6604 6656 8128 9152 11176 11264 13208 13312 16256 18161 18304 22352 22528 26416 26624 32512 36322 36608 44704 45056 52832 53248 65024 72644 73216 89408 105664 130048 145288 146432 178816 211328 260096 290576 292864 357632 422656 520192 581152 585728 715264 845312 1162304 1430528 1690624 2324608 2861056 3381248 4649216 5722112 6762496 9298432 18596864 37193728 74387456