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61378576 = 247279991
BaseRepresentation
bin1110101000100…
…1000000010000
311021111100120121
43222021000100
5111203103301
610031320024
71343465200
oct352110020
9137440517
1061378576
11317126a6
1218680014
13c9405ac
14821a400
1555c63a1
hex3a89010

61378576 has 60 divisors (see below), whose sum is σ = 140229120. Its totient is φ = 25945920.

The previous prime is 61378573. The next prime is 61378579. The reversal of 61378576 is 67587316.

It is an interprime number because it is at equal distance from previous prime (61378573) and next prime (61378579).

It is not an unprimeable number, because it can be changed into a prime (61378571) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61441 + ... + 62431.

It is an arithmetic number, because the mean of its divisors is an integer number (2337152).

Almost surely, 261378576 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 61378576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70114560).

61378576 is an abundant number, since it is smaller than the sum of its proper divisors (78850544).

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

61378576 is a wasteful number, since it uses less digits than its factorization.

61378576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1092 (or 1079 counting only the distinct ones).

The product of its digits is 211680, while the sum is 43.

The square root of 61378576 is about 7834.4480341630. The cubic root of 61378576 is about 394.4623909899.

The spelling of 61378576 in words is "sixty-one million, three hundred seventy-eight thousand, five hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 79 98 112 158 196 316 392 553 632 784 991 1106 1264 1982 2212 3871 3964 4424 6937 7742 7928 8848 13874 15484 15856 27748 30968 48559 55496 61936 78289 97118 110992 156578 194236 313156 388472 548023 626312 776944 1096046 1252624 2192092 3836161 4384184 7672322 8768368 15344644 30689288 61378576