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74364642 = 23411291439
BaseRepresentation
bin1000110111010…
…11011011100010
312011221010010000
410123223123202
5123014132032
611213520430
71562042352
oct433533342
9164833100
1074364642
1138a82290
1220aa3116
1312539361
149c3ab62
1567dde7c
hex46eb6e2

74364642 has 80 divisors (see below), whose sum is σ = 188179200. Its totient is φ = 21742560.

The previous prime is 74364623. The next prime is 74364643. The reversal of 74364642 is 24646347.

74364642 is a `hidden beast` number, since 7 + 4 + 3 + 6 + 4 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 74364597 and 74364606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74364643) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50959 + ... + 52397.

It is an arithmetic number, because the mean of its divisors is an integer number (2352240).

Almost surely, 274364642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74364642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94089600).

74364642 is an abundant number, since it is smaller than the sum of its proper divisors (113814558).

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

74364642 is a wasteful number, since it uses less digits than its factorization.

74364642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1484 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 74364642 is about 8623.4936075816. The cubic root of 74364642 is about 420.5221057987.

The spelling of 74364642 in words is "seventy-four million, three hundred sixty-four thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 27 29 33 54 58 66 81 87 99 162 174 198 261 297 319 522 594 638 783 891 957 1439 1566 1782 1914 2349 2871 2878 4317 4698 5742 8613 8634 12951 15829 17226 25839 25902 31658 38853 41731 47487 51678 77706 83462 94974 116559 125193 142461 233118 250386 284922 375579 427383 459041 751158 854766 918082 1126737 1282149 1377123 2253474 2564298 2754246 3380211 4131369 6760422 8262738 12394107 24788214 37182321 74364642