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61274772 = 223313192297
BaseRepresentation
bin1110100110111…
…1101010010100
311021022002012000
43221233222110
5111141243042
610025155300
71342553436
oct351575224
9137262160
1061274772
1131651709
121862bb30
13c905280
1481d0656
1555a574c
hex3a6fa94

61274772 has 96 divisors (see below), whose sum is σ = 180163200. Its totient is φ = 17853696.

The previous prime is 61274761. The next prime is 61274777. The reversal of 61274772 is 27747216.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61274777) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25528 + ... + 27824.

It is an arithmetic number, because the mean of its divisors is an integer number (1876700).

Almost surely, 261274772 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 61274772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90081600).

61274772 is an abundant number, since it is smaller than the sum of its proper divisors (118888428).

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

61274772 is a wasteful number, since it uses less digits than its factorization.

61274772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2342 (or 2334 counting only the distinct ones).

The product of its digits is 32928, while the sum is 36.

The square root of 61274772 is about 7827.8203862889. The cubic root of 61274772 is about 394.2398927307.

The spelling of 61274772 in words is "sixty-one million, two hundred seventy-four thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 27 36 38 39 52 54 57 76 78 108 114 117 156 171 228 234 247 342 351 468 494 513 684 702 741 988 1026 1404 1482 2052 2223 2297 2964 4446 4594 6669 6891 8892 9188 13338 13782 20673 26676 27564 29861 41346 43643 59722 62019 82692 87286 89583 119444 124038 130929 174572 179166 248076 261858 268749 358332 392787 523716 537498 567359 785574 806247 1074996 1134718 1178361 1571148 1612494 1702077 2269436 2356722 3224988 3404154 4713444 5106231 6808308 10212462 15318693 20424924 30637386 61274772