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61325376 = 2637103443
BaseRepresentation
bin1110100111110…
…0000001000000
311021101122121020
43221330001000
5111144403001
610030225440
71343154120
oct351740100
9137348536
1061325376
1131686732
1218655280
13c922308
148204c80
1555b5736
hex3a7c040

61325376 has 112 divisors (see below), whose sum is σ = 187659264. Its totient is φ = 17312256.

The previous prime is 61325359. The next prime is 61325393. The reversal of 61325376 is 67352316.

61325376 = T283 + T284 + ... + T730.

It is an interprime number because it is at equal distance from previous prime (61325359) and next prime (61325393).

It is a tau number, because it is divible by the number of its divisors (112).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138211 + ... + 138653.

Almost surely, 261325376 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 61325376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93829632).

61325376 is an abundant number, since it is smaller than the sum of its proper divisors (126333888).

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

61325376 is a wasteful number, since it uses less digits than its factorization.

61325376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 558 counting only the distinct ones).

The product of its digits is 22680, while the sum is 33.

The square root of 61325376 is about 7831.0520366040. The cubic root of 61325376 is about 394.3483910324.

The spelling of 61325376 in words is "sixty-one million, three hundred twenty-five thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 103 112 168 192 206 224 309 336 412 443 448 618 672 721 824 886 1236 1329 1344 1442 1648 1772 2163 2472 2658 2884 3101 3296 3544 4326 4944 5316 5768 6202 6592 7088 8652 9303 9888 10632 11536 12404 14176 17304 18606 19776 21264 23072 24808 28352 34608 37212 42528 45629 46144 49616 69216 74424 85056 91258 99232 136887 138432 148848 182516 198464 273774 297696 319403 365032 547548 595392 638806 730064 958209 1095096 1277612 1460128 1916418 2190192 2555224 2920256 3832836 4380384 5110448 7665672 8760768 10220896 15331344 20441792 30662688 61325376