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61529468 = 22711313127
BaseRepresentation
bin1110101010110…
…1110101111100
311021210000120012
43222231311330
5111222420333
610034442352
71344664130
oct352556574
9137700505
1061529468
1131806000
12187333b8
13c994190
1482593c0
155605e48
hex3aadd7c

61529468 has 96 divisors (see below), whose sum is σ = 146915328. Its totient is φ = 21954240.

The previous prime is 61529423. The next prime is 61529471. The reversal of 61529468 is 86492516.

It is a happy number.

Its product of digits (103680) is a multiple of the sum of its prime divisors (160).

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 31 ways as a sum of consecutive naturals, for example, 484421 + ... + 484547.

It is an arithmetic number, because the mean of its divisors is an integer number (1530368).

Almost surely, 261529468 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 61529468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73457664).

61529468 is an abundant number, since it is smaller than the sum of its proper divisors (85385860).

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

61529468 is a wasteful number, since it uses less digits than its factorization.

61529468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 160 counting only the distinct ones).

The product of its digits is 103680, while the sum is 41.

The square root of 61529468 is about 7844.0721567308. The cubic root of 61529468 is about 394.7853729063.

The spelling of 61529468 in words is "sixty-one million, five hundred twenty-nine thousand, four hundred sixty-eight".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 121 127 143 154 182 242 254 286 308 364 484 508 572 847 889 1001 1331 1397 1573 1651 1694 1778 2002 2662 2794 3146 3302 3388 3556 4004 5324 5588 6292 6604 9317 9779 11011 11557 15367 17303 18161 18634 19558 22022 23114 30734 34606 36322 37268 39116 44044 46228 61468 69212 72644 107569 121121 127127 169037 199771 215138 242242 254254 338074 399542 430276 484484 508508 676148 799084 1183259 1398397 2197481 2366518 2796794 4394962 4733036 5593588 8789924 15382367 30764734 61529468