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61294950 = 232521967107
BaseRepresentation
bin1110100111010…
…0100101100110
311021100002212100
43221310211212
5111142414300
610025432530
71342666323
oct351644546
9137302770
1061294950
1131665892
121863b746
13c911502
1481d7b4a
1555ab700
hex3a74966

61294950 has 144 divisors (see below), whose sum is σ = 177577920. Its totient is φ = 15111360.

The previous prime is 61294949. The next prime is 61294957. The reversal of 61294950 is 5949216.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61294957) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 572797 + ... + 572903.

It is an arithmetic number, because the mean of its divisors is an integer number (1233180).

Almost surely, 261294950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61294950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88788960).

61294950 is an abundant number, since it is smaller than the sum of its proper divisors (116282970).

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

61294950 is a wasteful number, since it uses less digits than its factorization.

61294950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211 (or 203 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 61294950 is about 7829.1091447239. The cubic root of 61294950 is about 394.2831628469.

The spelling of 61294950 in words is "sixty-one million, two hundred ninety-four thousand, nine hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 19 25 30 38 45 50 57 67 75 90 95 107 114 134 150 171 190 201 214 225 285 321 335 342 402 450 475 535 570 603 642 670 855 950 963 1005 1070 1206 1273 1425 1605 1675 1710 1926 2010 2033 2546 2675 2850 3015 3210 3350 3819 4066 4275 4815 5025 5350 6030 6099 6365 7169 7638 8025 8550 9630 10050 10165 11457 12198 12730 14338 15075 16050 18297 19095 20330 21507 22914 24075 30150 30495 31825 35845 36594 38190 43014 48150 50825 57285 60990 63650 64521 71690 91485 95475 101650 107535 114570 129042 136211 152475 179225 182970 190950 215070 272422 286425 304950 322605 358450 408633 457425 537675 572850 645210 681055 817266 914850 1075350 1225899 1362110 1613025 2043165 2451798 3226050 3405275 4086330 6129495 6810550 10215825 12258990 20431650 30647475 61294950