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61004790 = 23257118803
BaseRepresentation
bin1110100010110…
…1101111110110
311020210100211200
43220231233312
5111104123130
610015313330
71340350350
oct350555766
9136710750
1061004790
1131487890
121851b846
13c83c412
1481600d0
155550760
hex3a2dbf6

61004790 has 96 divisors (see below), whose sum is σ = 197773056. Its totient is φ = 12674880.

The previous prime is 61004767. The next prime is 61004813. The reversal of 61004790 is 9740016.

61004790 is a `hidden beast` number, since 610 + 0 + 47 + 9 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (61004767) and next prime (61004813).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2529 + ... + 11331.

It is an arithmetic number, because the mean of its divisors is an integer number (2060136).

Almost surely, 261004790 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61004790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98886528).

61004790 is an abundant number, since it is smaller than the sum of its proper divisors (136768266).

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

61004790 is a wasteful number, since it uses less digits than its factorization.

61004790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8834 (or 8831 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 61004790 is about 7810.5563182145. The cubic root of 61004790 is about 393.6600217681.

The spelling of 61004790 in words is "sixty-one million, four thousand, seven hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 11 14 15 18 21 22 30 33 35 42 45 55 63 66 70 77 90 99 105 110 126 154 165 198 210 231 315 330 385 462 495 630 693 770 990 1155 1386 2310 3465 6930 8803 17606 26409 44015 52818 61621 79227 88030 96833 123242 132045 158454 184863 193666 264090 290499 308105 369726 396135 484165 554589 580998 616210 677831 792270 871497 924315 968330 1109178 1355662 1452495 1742994 1848630 2033493 2772945 2904990 3389155 4066986 4357485 5545890 6100479 6778310 8714970 10167465 12200958 20334930 30502395 61004790