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197738496 = 21434149
BaseRepresentation
bin10111100100101…
…00000000000000
3111210002011020000
423302110000000
5401110112441
631342120000
74620515034
oct1362240000
9453064200
10197738496
11a168894a
1256280000
1331c74b37
141c3941c4
151255e2b6
hexbc94000

197738496 has 150 divisors (see below), whose sum is σ = 594721050. Its totient is φ = 65470464.

The previous prime is 197738423. The next prime is 197738533. The reversal of 197738496 is 694837791.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 132710400 + 65028096 = 11520^2 + 8064^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2286144) is a multiple of the sum of its prime factors (189).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1327030 + ... + 1327178.

It is an arithmetic number, because the mean of its divisors is an integer number (3964807).

Almost surely, 2197738496 is an apocalyptic number.

197738496 is a gapful number since it is divisible by the number (16) 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 197738496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297360525).

197738496 is an abundant number, since it is smaller than the sum of its proper divisors (396982554).

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

197738496 is an frugal number, since it uses more digits than its factorization.

197738496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 154 counting only the distinct ones).

The product of its digits is 2286144, while the sum is 54.

The square root of 197738496 is about 14061.9520693252. The cubic root of 197738496 is about 582.5909610080.

The spelling of 197738496 in words is "one hundred ninety-seven million, seven hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 149 162 192 216 256 288 298 324 384 432 447 512 576 596 648 768 864 894 1024 1152 1192 1296 1341 1536 1728 1788 2048 2304 2384 2592 2682 3072 3456 3576 4023 4096 4608 4768 5184 5364 6144 6912 7152 8046 8192 9216 9536 10368 10728 12069 12288 13824 14304 16092 16384 18432 19072 20736 21456 24138 24576 27648 28608 32184 36864 38144 41472 42912 48276 49152 55296 57216 64368 73728 76288 82944 85824 96552 110592 114432 128736 147456 152576 165888 171648 193104 221184 228864 257472 305152 331776 343296 386208 442368 457728 514944 610304 663552 686592 772416 915456 1029888 1220608 1327104 1373184 1544832 1830912 2059776 2441216 2746368 3089664 3661824 4119552 5492736 6179328 7323648 8239104 10985472 12358656 16478208 21970944 24717312 32956416 49434624 65912832 98869248 197738496