Search a number
-
+
61692192 = 253423801
BaseRepresentation
bin1110101101010…
…1100100100000
311022002021210000
43223111210200
5111243122232
610042140000
71346242422
oct353254440
9138067700
1061692192
1131907291
12187b1600
13ca20273
14829c812
15563927c
hex3ad5920

61692192 has 60 divisors (see below), whose sum is σ = 181442646. Its totient is φ = 20563200.

The previous prime is 61692181. The next prime is 61692203. The reversal of 61692192 is 29129616.

It is an interprime number because it is at equal distance from previous prime (61692181) and next prime (61692203).

It can be written as a sum of positive squares in only one way, i.e., 46294416 + 15397776 = 6804^2 + 3924^2 .

It is a Smith number, since the sum of its digits (36) 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 (36).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 9309 + ... + 14492.

Almost surely, 261692192 is an apocalyptic number.

It is an amenable number.

61692192 is an abundant number, since it is smaller than the sum of its proper divisors (119750454).

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

61692192 is a wasteful number, since it uses less digits than its factorization.

61692192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23823 (or 23806 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 61692192 is about 7854.4377265340. The cubic root of 61692192 is about 395.1330897994.

The spelling of 61692192 in words is "sixty-one million, six hundred ninety-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 23801 47602 71403 95204 142806 190408 214209 285612 380816 428418 571224 642627 761632 856836 1142448 1285254 1713672 1927881 2284896 2570508 3427344 3855762 5141016 6854688 7711524 10282032 15423048 20564064 30846096 61692192