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74050032 = 2437733019
BaseRepresentation
bin1000110100111…
…10100111110000
312011100010112210
410122132213300
5122424100112
611203052120
71556262210
oct432364760
9164303483
1074050032
1138887981
1220971040
13124590b4
149b98240
15677ab3c
hex469e9f0

74050032 has 80 divisors (see below), whose sum is σ = 221692160. Its totient is φ = 20860416.

The previous prime is 74050013. The next prime is 74050043. The reversal of 74050032 is 23005047.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 74049990 and 74050008.

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, 23019 + ... + 26037.

It is an arithmetic number, because the mean of its divisors is an integer number (2771152).

Almost surely, 274050032 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 74050032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110846080).

74050032 is an abundant number, since it is smaller than the sum of its proper divisors (147642128).

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

74050032 is a wasteful number, since it uses less digits than its factorization.

74050032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3110 (or 3104 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 21.

The square root of 74050032 is about 8605.2328266003. The cubic root of 74050032 is about 419.9282417088.

Adding to 74050032 its reverse (23005047), we get a palindrome (97055079).

The spelling of 74050032 in words is "seventy-four million, fifty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 73 84 112 146 168 219 292 336 438 511 584 876 1022 1168 1533 1752 2044 3019 3066 3504 4088 6038 6132 8176 9057 12076 12264 18114 21133 24152 24528 36228 42266 48304 63399 72456 84532 126798 144912 169064 220387 253596 338128 440774 507192 661161 881548 1014384 1322322 1542709 1763096 2644644 3085418 3526192 4628127 5289288 6170836 9256254 10578576 12341672 18512508 24683344 37025016 74050032