Search a number
-
+
61274928 = 243111379113
BaseRepresentation
bin1110100110111…
…1101100110000
311021022002101210
43221233230300
5111141244203
610025200120
71342554051
oct351575460
9137262353
1061274928
1131651840
1218630040
13c905370
1481d0728
1555a5803
hex3a6fb30

61274928 has 160 divisors (see below), whose sum is σ = 189987840. Its totient is φ = 16773120.

The previous prime is 61274903. The next prime is 61274963. The reversal of 61274928 is 82947216.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 542200 + ... + 542312.

It is an arithmetic number, because the mean of its divisors is an integer number (1187424).

Almost surely, 261274928 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 61274928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94993920).

61274928 is an abundant number, since it is smaller than the sum of its proper divisors (128712912).

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

61274928 is a wasteful number, since it uses less digits than its factorization.

61274928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 227 (or 221 counting only the distinct ones).

The product of its digits is 48384, while the sum is 39.

The square root of 61274928 is about 7827.8303507422. The cubic root of 61274928 is about 394.2402272968.

The spelling of 61274928 in words is "sixty-one million, two hundred seventy-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 33 39 44 48 52 66 78 79 88 104 113 132 143 156 158 176 208 226 237 264 286 312 316 339 429 452 474 528 572 624 632 678 858 869 904 948 1027 1144 1243 1264 1356 1469 1716 1738 1808 1896 2054 2288 2486 2607 2712 2938 3081 3432 3476 3729 3792 4108 4407 4972 5214 5424 5876 6162 6864 6952 7458 8216 8814 8927 9944 10428 11297 11752 12324 13904 14916 16159 16432 17628 17854 19888 20856 22594 23504 24648 26781 29832 32318 33891 35256 35708 41712 45188 48477 49296 53562 59664 64636 67782 70512 71416 90376 96954 98197 107124 116051 129272 135564 142832 180752 193908 196394 214248 232102 258544 271128 294591 348153 387816 392788 428496 464204 542256 589182 696306 775632 785576 928408 1178364 1276561 1392612 1571152 1856816 2356728 2553122 2785224 3829683 4713456 5106244 5570448 7659366 10212488 15318732 20424976 30637464 61274928