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196455936 = 293791619
BaseRepresentation
bin10111011010110…
…10111000000000
3111200122222212210
423231122320000
5400243042221
631254422120
74603563555
oct1355327000
9450588783
10196455936
11a0992286
1255961940
1331916121
141c13ca2c
15123a9276
hexbb5ae00

196455936 has 80 divisors (see below), whose sum is σ = 530323200. Its totient is φ = 64616448.

The previous prime is 196455871. The next prime is 196455967. The reversal of 196455936 is 639554691.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 120535 + ... + 122153.

It is an arithmetic number, because the mean of its divisors is an integer number (6629040).

Almost surely, 2196455936 is an apocalyptic number.

196455936 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 196455936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265161600).

196455936 is an abundant number, since it is smaller than the sum of its proper divisors (333867264).

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

196455936 is an equidigital number, since it uses as much as digits as its factorization.

196455936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1719 (or 1703 counting only the distinct ones).

The product of its digits is 874800, while the sum is 48.

The square root of 196455936 is about 14016.2739699251. The cubic root of 196455936 is about 581.3286385915.

The spelling of 196455936 in words is "one hundred ninety-six million, four hundred fifty-five thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 512 632 768 948 1264 1536 1619 1896 2528 3238 3792 4857 5056 6476 7584 9714 10112 12952 15168 19428 20224 25904 30336 38856 40448 51808 60672 77712 103616 121344 127901 155424 207232 255802 310848 383703 414464 511604 621696 767406 828928 1023208 1243392 1534812 2046416 2486784 3069624 4092832 6139248 8185664 12278496 16371328 24556992 32742656 49113984 65485312 98227968 196455936