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61345088 = 267149919
BaseRepresentation
bin1110101000000…
…0110101000000
311021102122122022
43222000311000
5111201020323
610030501012
71343265440
oct352006500
9137378568
1061345088
113169a522
1218664768
13c92b28c
14820c120
1555bb4c8
hex3a80d40

61345088 has 56 divisors (see below), whose sum is σ = 140208000. Its totient is φ = 26085888.

The previous prime is 61345079. The next prime is 61345093. The reversal of 61345088 is 88054316.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 66293 + ... + 67211.

Almost surely, 261345088 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 61345088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70104000).

61345088 is an abundant number, since it is smaller than the sum of its proper divisors (78862912).

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

61345088 is a wasteful number, since it uses less digits than its factorization.

61345088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1087 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The square root of 61345088 is about 7832.3105147843. The cubic root of 61345088 is about 394.3906387025.

The spelling of 61345088 in words is "sixty-one million, three hundred forty-five thousand, eighty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 149 224 298 448 596 919 1043 1192 1838 2086 2384 3676 4172 4768 6433 7352 8344 9536 12866 14704 16688 25732 29408 33376 51464 58816 66752 102928 136931 205856 273862 411712 547724 958517 1095448 1917034 2190896 3834068 4381792 7668136 8763584 15336272 30672544 61345088