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56742196 = 22722341307
BaseRepresentation
bin1101100001110…
…1000100110100
310221202210122211
43120131010310
5104011222241
65344103204
71256205100
oct330350464
9127683584
1056742196
112a036285
1217004b04
13b9a9184
147770900
154eac781
hex361d134

56742196 has 72 divisors (see below), whose sum is σ = 123875136. Its totient is φ = 22619520.

The previous prime is 56742181. The next prime is 56742197. The reversal of 56742196 is 69124765.

56742196 = T448 + T449 + ... + T754.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56742197) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184675 + ... + 184981.

It is an arithmetic number, because the mean of its divisors is an integer number (1720488).

Almost surely, 256742196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56742196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61937568).

56742196 is an abundant number, since it is smaller than the sum of its proper divisors (67132940).

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

56742196 is a wasteful number, since it uses less digits than its factorization.

56742196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389 (or 380 counting only the distinct ones).

The product of its digits is 90720, while the sum is 40.

The square root of 56742196 is about 7532.7415991789. The cubic root of 56742196 is about 384.2690262505.

The spelling of 56742196 in words is "fifty-six million, seven hundred forty-two thousand, one hundred ninety-six".

Divisors: 1 2 4 7 14 23 28 41 46 49 82 92 98 161 164 196 287 307 322 574 614 644 943 1127 1148 1228 1886 2009 2149 2254 3772 4018 4298 4508 6601 7061 8036 8596 12587 13202 14122 15043 25174 26404 28244 30086 46207 49427 50348 60172 88109 92414 98854 176218 184828 197708 289501 345989 352436 579002 616763 691978 1158004 1233526 1383956 2026507 2467052 4053014 8106028 14185549 28371098 56742196