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193879056 = 2437587983
BaseRepresentation
bin10111000111001…
…01110000010000
3111111211002001210
423203211300100
5344113112211
631123300120
74542642030
oct1343456020
9444732053
10193879056
119a492228
1254b1a640
1331223247
141ba6b8c0
151204a9a6
hexb8e5c10

193879056 has 80 divisors (see below), whose sum is σ = 573963264. Its totient is φ = 55243392.

The previous prime is 193879031. The next prime is 193879057. The reversal of 193879056 is 650978391.

It is a super-2 number, since 2×1938790562 = 75178176710902272, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 193878996 and 193879014.

It is not an unprimeable number, because it can be changed into a prime (193879057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 196741 + ... + 197723.

Almost surely, 2193879056 is an apocalyptic number.

193879056 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 193879056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (286981632).

193879056 is an abundant number, since it is smaller than the sum of its proper divisors (380084208).

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

193879056 is a wasteful number, since it uses less digits than its factorization.

193879056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1588 (or 1582 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 48.

The square root of 193879056 is about 13924.0459637276. The cubic root of 193879056 is about 578.7757132255.

The spelling of 193879056 in words is "one hundred ninety-three million, eight hundred seventy-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 587 983 1174 1761 1966 2348 2949 3522 3932 4109 4696 5898 6881 7044 7864 8218 9392 11796 12327 13762 14088 15728 16436 20643 23592 24654 27524 28176 32872 41286 47184 49308 55048 65744 82572 98616 110096 165144 197232 330288 577021 1154042 1731063 2308084 3462126 4039147 4616168 6924252 8078294 9232336 12117441 13848504 16156588 24234882 27697008 32313176 48469764 64626352 96939528 193879056