[go: up one dir, main page]

Search a number
-
+
61909638 = 23721911083
BaseRepresentation
bin1110110000101…
…0101010000110
311022111100001120
43230022222012
5111322102023
610050534410
71351136400
oct354125206
9138440046
1061909638
1131a4569a
1218897406
13ca9822b
148317b70
15567d8e3
hex3b0aa86

61909638 has 48 divisors (see below), whose sum is σ = 151629120. Its totient is φ = 16755984.

The previous prime is 61909609. The next prime is 61909643. The reversal of 61909638 is 83690916.

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

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

It is a self number, because there is not a number n which added to its sum of digits gives 61909638.

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, 45 + ... + 11127.

It is an arithmetic number, because the mean of its divisors is an integer number (3158940).

Almost surely, 261909638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61909638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75814560).

61909638 is an abundant number, since it is smaller than the sum of its proper divisors (89719482).

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

61909638 is a wasteful number, since it uses less digits than its factorization.

61909638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11121 (or 11114 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

The square root of 61909638 is about 7868.2677890372. The cubic root of 61909638 is about 395.5967862951.

The spelling of 61909638 in words is "sixty-one million, nine hundred nine thousand, six hundred thirty-eight".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 399 798 931 1862 2793 5586 11083 22166 33249 66498 77581 155162 210577 232743 421154 465486 543067 631731 1086134 1263462 1474039 1629201 2948078 3258402 4422117 8844234 10318273 20636546 30954819 61909638