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61028096 = 281737379
BaseRepresentation
bin1110100011001…
…1011100000000
311020211112210212
43220303130000
5111110344341
610020013252
71340505323
oct350633400
9136745725
1061028096
11314a3348
1218531228
13c849bcc
1481687ba
1555575eb
hex3a33700

61028096 has 72 divisors (see below), whose sum is σ = 132819120. Its totient is φ = 27869184.

The previous prime is 61028083. The next prime is 61028111. The reversal of 61028096 is 69082016.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 160835 + ... + 161213.

It is an arithmetic number, because the mean of its divisors is an integer number (1844710).

Almost surely, 261028096 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 61028096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66409560).

61028096 is an abundant number, since it is smaller than the sum of its proper divisors (71791024).

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

61028096 is a wasteful number, since it uses less digits than its factorization.

61028096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The square root of 61028096 is about 7812.0481309321. The cubic root of 61028096 is about 393.7101460964.

The spelling of 61028096 in words is "sixty-one million, twenty-eight thousand, ninety-six".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 128 136 148 256 272 296 379 544 592 629 758 1088 1184 1258 1516 2176 2368 2516 3032 4352 4736 5032 6064 6443 9472 10064 12128 12886 14023 20128 24256 25772 28046 40256 48512 51544 56092 80512 97024 103088 112184 161024 206176 224368 238391 412352 448736 476782 824704 897472 953564 1649408 1794944 1907128 3589888 3814256 7628512 15257024 30514048 61028096