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193218048 = 29351553
BaseRepresentation
bin10111000010001…
…00011000000000
3111110120111100000
423201010120000
5343430434143
631101200000
74534216632
oct1341043000
9443514300
10193218048
119a080641
1254860000
133105140a
141b938a52
1511e69bd3
hexb844600

193218048 has 120 divisors (see below), whose sum is σ = 578666088. Its totient is φ = 64364544.

The previous prime is 193218029. The next prime is 193218061. The reversal of 193218048 is 840812391.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123640 + ... + 125192.

Almost surely, 2193218048 is an apocalyptic number.

193218048 is a gapful number since it is divisible by the number (18) 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 193218048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289333044).

193218048 is an abundant number, since it is smaller than the sum of its proper divisors (385448040).

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

193218048 is an frugal number, since it uses more digits than its factorization.

193218048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1586 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 193218048 is about 13900.2894933883. The cubic root of 193218048 is about 578.1172082242.

The spelling of 193218048 in words is "one hundred ninety-three million, two hundred eighteen thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1152 1296 1536 1553 1728 1944 2304 2592 3106 3456 3888 4608 4659 5184 6212 6912 7776 9318 10368 12424 13824 13977 15552 18636 20736 24848 27954 31104 37272 41472 41931 49696 55908 62208 74544 83862 99392 111816 124416 125793 149088 167724 198784 223632 251586 298176 335448 377379 397568 447264 503172 596352 670896 754758 795136 894528 1006344 1192704 1341792 1509516 1789056 2012688 2385408 2683584 3019032 3578112 4025376 5367168 6038064 7156224 8050752 10734336 12076128 16101504 21468672 24152256 32203008 48304512 64406016 96609024 193218048