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196349952 = 212319292
BaseRepresentation
bin10111011010000…
…01000000000000
3111200110121111110
423231001000000
5400231144302
631252243320
74602642561
oct1355010000
9450417443
10196349952
11a091a697
1255910540
13318a9b06
141c112168
1512387b6c
hexbb41000

196349952 has 156 divisors (see below), whose sum is σ = 570748880. Its totient is φ = 59867136.

The previous prime is 196349941. The next prime is 196349987. The reversal of 196349952 is 259943691.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nialpdrome in base 16.

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, 6770674 + ... + 6770702.

Almost surely, 2196349952 is an apocalyptic number.

196349952 is a gapful number since it is divisible by the number (12) 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 196349952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (285374440).

196349952 is an abundant number, since it is smaller than the sum of its proper divisors (374398928).

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

196349952 is an equidigital number, since it uses as much as digits as its factorization.

196349952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 53 counting only the distinct ones).

The product of its digits is 524880, while the sum is 48.

The square root of 196349952 is about 14012.4927118625. The cubic root of 196349952 is about 581.2240814434.

It can be divided in two parts, 1963 and 49952, that added together give a palindrome (51915).

The spelling of 196349952 in words is "one hundred ninety-six million, three hundred forty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 29 32 38 48 57 58 64 76 87 96 114 116 128 152 174 192 228 232 256 304 348 384 456 464 512 551 608 696 768 841 912 928 1024 1102 1216 1392 1536 1653 1682 1824 1856 2048 2204 2432 2523 2784 3072 3306 3364 3648 3712 4096 4408 4864 5046 5568 6144 6612 6728 7296 7424 8816 9728 10092 11136 12288 13224 13456 14592 14848 15979 17632 19456 20184 22272 26448 26912 29184 29696 31958 35264 38912 40368 44544 47937 52896 53824 58368 59392 63916 70528 77824 80736 89088 95874 105792 107648 116736 118784 127832 141056 161472 178176 191748 211584 215296 233472 255664 282112 322944 356352 383496 423168 430592 511328 564224 645888 766992 846336 861184 1022656 1128448 1291776 1533984 1692672 1722368 2045312 2256896 2583552 3067968 3385344 3444736 4090624 5167104 6135936 6770688 8181248 10334208 12271872 16362496 24543744 32724992 49087488 65449984 98174976 196349952