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74004192 = 253531307
BaseRepresentation
bin1000110100100…
…11011011100000
312011020210200000
410122103123200
5122421113232
611202100000
71556011443
oct432233340
9164223600
1074004192
1138856499
122094a600
1312441282
149b8565a
15676c27c
hex46936e0

74004192 has 144 divisors (see below), whose sum is σ = 226017792. Its totient is φ = 23794560.

The previous prime is 74004191. The next prime is 74004193. The reversal of 74004192 is 29140047.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (74004191) and next prime (74004193).

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (74004191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 240903 + ... + 241209.

It is an arithmetic number, because the mean of its divisors is an integer number (1569568).

Almost surely, 274004192 is an apocalyptic number.

74004192 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 74004192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113008896).

74004192 is an abundant number, since it is smaller than the sum of its proper divisors (152013600).

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

74004192 is a wasteful number, since it uses less digits than its factorization.

74004192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 343 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 74004192 is about 8602.5689186428. The cubic root of 74004192 is about 419.8415729007.

The spelling of 74004192 in words is "seventy-four million, four thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 72 81 93 96 108 124 144 162 186 216 243 248 279 288 307 324 372 432 486 496 558 614 648 744 837 864 921 972 992 1116 1228 1296 1488 1674 1842 1944 2232 2456 2511 2592 2763 2976 3348 3684 3888 4464 4912 5022 5526 6696 7368 7533 7776 8289 8928 9517 9824 10044 11052 13392 14736 15066 16578 19034 20088 22104 24867 26784 28551 29472 30132 33156 38068 40176 44208 49734 57102 60264 66312 74601 76136 80352 85653 88416 99468 114204 120528 132624 149202 152272 171306 198936 228408 241056 256959 265248 298404 304544 342612 397872 456816 513918 596808 685224 770877 795744 913632 1027836 1193616 1370448 1541754 2055672 2312631 2387232 2740896 3083508 4111344 4625262 6167016 8222688 9250524 12334032 18501048 24668064 37002096 74004192