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194057424 = 24331197421
BaseRepresentation
bin10111001000100…
…01010011010000
3111112011010202000
423210101103100
5344134314144
631131154000
74544314041
oct1344212320
9445133660
10194057424
119a5a4240
1254ba5900
13312864a2
141bab68c8
1512083769
hexb9114d0

194057424 has 160 divisors (see below), whose sum is σ = 615377280. Its totient is φ = 58060800.

The previous prime is 194057419. The next prime is 194057429. The reversal of 194057424 is 424750491.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (194057419) and next prime (194057429).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (194057429) 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 31 ways as a sum of consecutive naturals, for example, 460734 + ... + 461154.

It is an arithmetic number, because the mean of its divisors is an integer number (3846108).

Almost surely, 2194057424 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 194057424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307688640).

194057424 is an abundant number, since it is smaller than the sum of its proper divisors (421319856).

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

194057424 is a wasteful number, since it uses less digits than its factorization.

194057424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 194057424 is about 13930.4495261280. The cubic root of 194057424 is about 578.9531493139.

It can be divided in two parts, 194057 and 424, that added together give a 4-th power (194481 = 214).

The spelling of 194057424 in words is "one hundred ninety-four million, fifty-seven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 97 99 108 132 144 176 194 198 216 264 291 297 388 396 421 432 528 582 594 776 792 842 873 1067 1164 1188 1263 1552 1584 1684 1746 2134 2328 2376 2526 2619 3201 3368 3492 3789 4268 4631 4656 4752 5052 5238 6402 6736 6984 7578 8536 9262 9603 10104 10476 11367 12804 13893 13968 15156 17072 18524 19206 20208 20952 22734 25608 27786 28809 30312 37048 38412 40837 41679 41904 45468 51216 55572 57618 60624 74096 76824 81674 83358 90936 111144 115236 122511 125037 153648 163348 166716 181872 222288 230472 245022 250074 326696 333432 367533 449207 460944 490044 500148 653392 666864 735066 898414 980088 1000296 1102599 1347621 1470132 1796828 1960176 2000592 2205198 2695242 2940264 3593656 4042863 4410396 5390484 5880528 7187312 8085726 8820792 10780968 12128589 16171452 17641584 21561936 24257178 32342904 48514356 64685808 97028712 194057424