Search a number
-
+
61671744 = 2632107069
BaseRepresentation
bin1110101101000…
…0100101000000
311022001020201200
43223100211000
5111241443434
610041501200
71346126001
oct353204500
9138036650
1061671744
11318a2992
12187a1800
13ca13b74
1482951a8
155633199
hex3ad0940

61671744 has 42 divisors (see below), whose sum is σ = 176772570. Its totient is φ = 20557056.

The previous prime is 61671721. The next prime is 61671751. The reversal of 61671744 is 44717616.

It can be written as a sum of positive squares in only one way, i.e., 60840000 + 831744 = 7800^2 + 912^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 61671699 and 61671708.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 52959 + ... + 54110.

Almost surely, 261671744 is an apocalyptic number.

61671744 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

61671744 is an abundant number, since it is smaller than the sum of its proper divisors (115100826).

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

61671744 is a wasteful number, since it uses less digits than its factorization.

61671744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107087 (or 107074 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The square root of 61671744 is about 7853.1359341348. The cubic root of 61671744 is about 395.0894290919.

The spelling of 61671744 in words is "sixty-one million, six hundred seventy-one thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 107069 214138 321207 428276 642414 856552 963621 1284828 1713104 1927242 2569656 3426208 3854484 5139312 6852416 7708968 10278624 15417936 20557248 30835872 61671744