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74216472 = 23311733851
BaseRepresentation
bin1000110110001…
…11010000011000
312011122120212020
410123013100120
5122444411342
611210414440
71560554361
oct433072030
9164576766
1074216472
1138990a30
1220a31420
13124b6a95
149bdcb68
1567b00ec
hex46c7418

74216472 has 64 divisors (see below), whose sum is σ = 205234560. Its totient is φ = 22176000.

The previous prime is 74216459. The next prime is 74216473. The reversal of 74216472 is 27461247.

It is a super-2 number, since 2×742164722 = 11016169432253568, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74216473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17347 + ... + 21197.

It is an arithmetic number, because the mean of its divisors is an integer number (3206790).

Almost surely, 274216472 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 74216472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102617280).

74216472 is an abundant number, since it is smaller than the sum of its proper divisors (131018088).

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

74216472 is a wasteful number, since it uses less digits than its factorization.

74216472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3944 (or 3940 counting only the distinct ones).

The product of its digits is 18816, while the sum is 33.

The square root of 74216472 is about 8614.8982582501. The cubic root of 74216472 is about 420.2426262522.

The spelling of 74216472 in words is "seventy-four million, two hundred sixteen thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 73 88 132 146 219 264 292 438 584 803 876 1606 1752 2409 3212 3851 4818 6424 7702 9636 11553 15404 19272 23106 30808 42361 46212 84722 92424 127083 169444 254166 281123 338888 508332 562246 843369 1016664 1124492 1686738 2248984 3092353 3373476 6184706 6746952 9277059 12369412 18554118 24738824 37108236 74216472