[go: up one dir, main page]

Search a number
-
+
61403808 = 2533147439
BaseRepresentation
bin1110101000111…
…1001010100000
311021112122012010
43222033022200
5111204410213
610032032520
71343631564
oct352171240
9137478163
1061403808
113172a654
1218692740
13c94bc1b
1482256a4
1555cdac3
hex3a8f2a0

61403808 has 96 divisors (see below), whose sum is σ = 170311680. Its totient is φ = 19342080.

The previous prime is 61403807. The next prime is 61403809. The reversal of 61403808 is 80830416.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (61403807) and next prime (61403809).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (61403803) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 139653 + ... + 140091.

It is an arithmetic number, because the mean of its divisors is an integer number (1774080).

Almost surely, 261403808 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 61403808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85155840).

61403808 is an abundant number, since it is smaller than the sum of its proper divisors (108907872).

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

61403808 is a wasteful number, since it uses less digits than its factorization.

61403808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 522 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 61403808 is about 7836.0581927395. The cubic root of 61403808 is about 394.5164365117.

The spelling of 61403808 in words is "sixty-one million, four hundred three thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 47 48 62 93 94 96 124 141 186 188 248 282 372 376 439 496 564 744 752 878 992 1128 1317 1457 1488 1504 1756 2256 2634 2914 2976 3512 4371 4512 5268 5828 7024 8742 10536 11656 13609 14048 17484 20633 21072 23312 27218 34968 40827 41266 42144 46624 54436 61899 69936 81654 82532 108872 123798 139872 163308 165064 217744 247596 326616 330128 435488 495192 639623 653232 660256 990384 1279246 1306464 1918869 1980768 2558492 3837738 5116984 7675476 10233968 15350952 20467936 30701904 61403808