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61283838 = 23711231389
BaseRepresentation
bin1110100111000…
…1110111111110
311021022112121210
43221301313332
5111142040323
610025305250
71342622040
oct351616776
9137275553
1061283838
1131658500
1218635226
13c909435
1481d3a90
1555a8293
hex3a71dfe

61283838 has 96 divisors (see below), whose sum is σ = 159344640. Its totient is φ = 15364800.

The previous prime is 61283837. The next prime is 61283839. The reversal of 61283838 is 83838216.

It is an interprime number because it is at equal distance from previous prime (61283837) and next prime (61283839).

It is a junction number, because it is equal to n+sod(n) for n = 61283796 and 61283805.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61283837) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157348 + ... + 157736.

It is an arithmetic number, because the mean of its divisors is an integer number (1659840).

Almost surely, 261283838 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61283838, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79672320).

61283838 is an abundant number, since it is smaller than the sum of its proper divisors (98060802).

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

61283838 is a wasteful number, since it uses less digits than its factorization.

61283838 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 443 counting only the distinct ones).

The product of its digits is 55296, while the sum is 39.

The square root of 61283838 is about 7828.3994532727. The cubic root of 61283838 is about 394.2593352217.

The spelling of 61283838 in words is "sixty-one million, two hundred eighty-three thousand, eight hundred thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 93 121 154 186 217 231 242 341 363 389 434 462 651 682 726 778 847 1023 1167 1302 1694 2046 2334 2387 2541 2723 3751 4279 4774 5082 5446 7161 7502 8169 8558 11253 12059 12837 14322 16338 22506 24118 25674 26257 29953 36177 47069 52514 59906 72354 78771 84413 89859 94138 132649 141207 157542 168826 179718 253239 265298 282414 329483 397947 506478 658966 795894 928543 988449 1459139 1857086 1976898 2785629 2918278 4377417 5571258 8754834 10213973 20427946 30641919 61283838