Search a number
-
+
193459056 = 2437283991
BaseRepresentation
bin10111000011111…
…11001101110000
3111111000201221020
423201333031300
5344011142211
631110255440
74536242400
oct1341771560
9444021836
10193459056
119a22571a
1254957580
133110701b
141b99c800
1511eb6306
hexb87f370

193459056 has 120 divisors (see below), whose sum is σ = 588962304. Its totient is φ = 54552960.

The previous prime is 193459043. The next prime is 193459069. The reversal of 193459056 is 650954391.

It is an interprime number because it is at equal distance from previous prime (193459043) and next prime (193459069).

It is a super-2 number, since 2×1934590562 = 74852812696822272, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 193458999 and 193459017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194721 + ... + 195711.

Almost surely, 2193459056 is an apocalyptic number.

193459056 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 193459056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294481152).

193459056 is an abundant number, since it is smaller than the sum of its proper divisors (395503248).

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

193459056 is a wasteful number, since it uses less digits than its factorization.

193459056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1099 (or 1086 counting only the distinct ones).

The product of its (nonzero) digits is 145800, while the sum is 42.

The square root of 193459056 is about 13908.9559636948. The cubic root of 193459056 is about 578.3574773274.

The spelling of 193459056 in words is "one hundred ninety-three million, four hundred fifty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 83 84 98 112 147 166 168 196 249 294 332 336 392 498 581 588 664 784 991 996 1162 1176 1328 1743 1982 1992 2324 2352 2973 3486 3964 3984 4067 4648 5946 6937 6972 7928 8134 9296 11892 12201 13874 13944 15856 16268 20811 23784 24402 27748 27888 32536 41622 47568 48559 48804 55496 65072 82253 83244 97118 97608 110992 145677 164506 166488 194236 195216 246759 291354 329012 332976 388472 493518 575771 582708 658024 776944 987036 1151542 1165416 1316048 1727313 1974072 2303084 2330832 3454626 3948144 4030397 4606168 6909252 8060794 9212336 12091191 13818504 16121588 24182382 27637008 32243176 48364764 64486352 96729528 193459056