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74361888 = 253573131
BaseRepresentation
bin1000110111010…
…10110000100000
312011220222100000
410123222300200
5123014040023
611213500000
71562031336
oct433526040
9164828300
1074361888
1138a80207
1220aa1600
1312538023
149c39b56
1567dd243
hex46eac20

74361888 has 144 divisors (see below), whose sum is σ = 223999776. Its totient is φ = 24261120.

The previous prime is 74361869. The next prime is 74361899. The reversal of 74361888 is 88816347.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 567583 + ... + 567713.

It is an arithmetic number, because the mean of its divisors is an integer number (1555554).

Almost surely, 274361888 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 74361888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111999888).

74361888 is an abundant number, since it is smaller than the sum of its proper divisors (149637888).

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

74361888 is a wasteful number, since it uses less digits than its factorization.

74361888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 209 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 74361888 is about 8623.3339260404. Note that the first 3 decimals coincide. The cubic root of 74361888 is about 420.5169145673.

The spelling of 74361888 in words is "seventy-four million, three hundred sixty-one thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 73 81 96 108 131 144 146 162 216 219 243 262 288 292 324 393 432 438 486 524 584 648 657 786 864 876 972 1048 1168 1179 1296 1314 1572 1752 1944 1971 2096 2336 2358 2592 2628 3144 3504 3537 3888 3942 4192 4716 5256 5913 6288 7008 7074 7776 7884 9432 9563 10512 10611 11826 12576 14148 15768 17739 18864 19126 21024 21222 23652 28296 28689 31536 31833 35478 37728 38252 42444 47304 56592 57378 63072 63666 70956 76504 84888 86067 94608 113184 114756 127332 141912 153008 169776 172134 189216 229512 254664 258201 283824 306016 339552 344268 459024 509328 516402 567648 688536 774603 918048 1018656 1032804 1377072 1549206 2065608 2323809 2754144 3098412 4131216 4647618 6196824 8262432 9295236 12393648 18590472 24787296 37180944 74361888