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61252590 = 235731972
BaseRepresentation
bin1110100110101…
…0001111101110
311021020221202110
43221222033232
5111140040330
610024504450
71342431660
oct351521756
9137227673
1061252590
1131636a83
121861b126
13c8c8149
1481c6530
15559ddb0
hex3a6a3ee

61252590 has 96 divisors (see below), whose sum is σ = 175233024. Its totient is φ = 13409280.

The previous prime is 61252579. The next prime is 61252643. The reversal of 61252590 is 9525216.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 631422 + ... + 631518.

It is an arithmetic number, because the mean of its divisors is an integer number (1825344).

Almost surely, 261252590 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61252590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87616512).

61252590 is an abundant number, since it is smaller than the sum of its proper divisors (113980434).

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

61252590 is a wasteful number, since it uses less digits than its factorization.

61252590 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 242 (or 145 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 61252590 is about 7826.4033885304. The cubic root of 61252590 is about 394.1923142332.

The spelling of 61252590 in words is "sixty-one million, two hundred fifty-two thousand, five hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 97 105 155 186 194 210 217 291 310 434 465 485 582 651 679 930 970 1085 1302 1358 1455 2037 2170 2910 3007 3255 3395 4074 6014 6510 6790 9021 9409 10185 15035 18042 18818 20370 21049 28227 30070 42098 45105 47045 56454 63147 65863 90210 94090 105245 126294 131726 141135 197589 210490 282270 291679 315735 329315 395178 583358 631470 658630 875037 987945 1458395 1750074 1975890 2041753 2916790 4083506 4375185 6125259 8750370 10208765 12250518 20417530 30626295 61252590