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61428444 = 223711193499
BaseRepresentation
bin1110101001010…
…1001011011100
311021120212222120
43222111023130
5111211202234
610032342540
71344063450
oct352251334
9137525876
1061428444
1131747110
12186a4a50
13c95a1bc
148230660
1555d6049
hex3a952dc

61428444 has 96 divisors (see below), whose sum is σ = 188160000. Its totient is φ = 15111360.

The previous prime is 61428443. The next prime is 61428487. The reversal of 61428444 is 44482416.

It is a super-2 number, since 2×614284442 = 7546907464522272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61428443) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15807 + ... + 19305.

It is an arithmetic number, because the mean of its divisors is an integer number (1960000).

Almost surely, 261428444 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 61428444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94080000).

61428444 is an abundant number, since it is smaller than the sum of its proper divisors (126731556).

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

61428444 is a wasteful number, since it uses less digits than its factorization.

61428444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3543 (or 3541 counting only the distinct ones).

The product of its digits is 24576, while the sum is 33.

The square root of 61428444 is about 7837.6299989219. The cubic root of 61428444 is about 394.5691911518.

The spelling of 61428444 in words is "sixty-one million, four hundred twenty-eight thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 11 12 14 19 21 22 28 33 38 42 44 57 66 76 77 84 114 132 133 154 209 228 231 266 308 399 418 462 532 627 798 836 924 1254 1463 1596 2508 2926 3499 4389 5852 6998 8778 10497 13996 17556 20994 24493 38489 41988 48986 66481 73479 76978 97972 115467 132962 146958 153956 199443 230934 265924 269423 293916 398886 461868 465367 538846 731291 797772 808269 930734 1077692 1396101 1462582 1616538 1861468 2193873 2792202 2925164 3233076 4387746 5119037 5584404 8775492 10238074 15357111 20476148 30714222 61428444