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61283712 = 273723257
BaseRepresentation
bin1110100111000…
…1110110000000
311021022112110010
43221301312000
5111142034322
610025304520
71342621500
oct351616600
9137275403
1061283712
11316583a6
1218635140
13c909369
1481d3a00
1555a820c
hex3a71d80

61283712 has 96 divisors (see below), whose sum is σ = 189420120. Its totient is φ = 17504256.

The previous prime is 61283701. The next prime is 61283737. The reversal of 61283712 is 21738216.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 61283712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17188 + ... + 20444.

Almost surely, 261283712 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 61283712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94710060).

61283712 is an abundant number, since it is smaller than the sum of its proper divisors (128136408).

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

61283712 is a wasteful number, since it uses less digits than its factorization.

61283712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3288 (or 3269 counting only the distinct ones).

The product of its digits is 4032, while the sum is 30.

The square root of 61283712 is about 7828.3914056465. The cubic root of 61283712 is about 394.2590650215.

The spelling of 61283712 in words is "sixty-one million, two hundred eighty-three thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 294 336 384 392 448 588 672 784 896 1176 1344 1568 2352 2688 3136 3257 4704 6272 6514 9408 9771 13028 18816 19542 22799 26056 39084 45598 52112 68397 78168 91196 104224 136794 156336 159593 182392 208448 273588 312672 319186 364784 416896 478779 547176 625344 638372 729568 957558 1094352 1250688 1276744 1459136 1915116 2188704 2553488 2918272 3830232 4377408 5106976 7660464 8754816 10213952 15320928 20427904 30641856 61283712