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61333428 = 223131093607
BaseRepresentation
bin1110100111110…
…1111110110100
311021102001122110
43221331332310
5111200132203
610030331020
71343216442
oct351757664
9137361573
1061333428
1131691792
1218659a70
13c925b90
148207b92
1555b7d03
hex3a7dfb4

61333428 has 48 divisors (see below), whose sum is σ = 155576960. Its totient is φ = 18693504.

The previous prime is 61333427. The next prime is 61333451. The reversal of 61333428 is 82433316.

It is a junction number, because it is equal to n+sod(n) for n = 61333395 and 61333404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61333423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15201 + ... + 18807.

Almost surely, 261333428 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 61333428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77788480).

61333428 is an abundant number, since it is smaller than the sum of its proper divisors (94243532).

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

61333428 is a wasteful number, since it uses less digits than its factorization.

61333428 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3736 (or 3734 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 61333428 is about 7831.5661268995. The cubic root of 61333428 is about 394.3656495448.

The spelling of 61333428 in words is "sixty-one million, three hundred thirty-three thousand, four hundred twenty-eight".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 109 156 218 327 436 654 1308 1417 2834 3607 4251 5668 7214 8502 10821 14428 17004 21642 43284 46891 93782 140673 187564 281346 393163 562692 786326 1179489 1572652 2358978 4717956 5111119 10222238 15333357 20444476 30666714 61333428