Search a number
-
+
61425408 = 283112661
BaseRepresentation
bin1110101001010…
…0011100000000
311021120201211010
43222110130000
5111211103113
610032320520
71344051552
oct352243400
9137521733
1061425408
1131744900
12186a3140
13c9589c5
14822d4d2
1555d51c3
hex3a94700

61425408 has 108 divisors (see below), whose sum is σ = 179966024. Its totient is φ = 18585600.

The previous prime is 61425401. The next prime is 61425443. The reversal of 61425408 is 80452416.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61425401) 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, 92598 + ... + 93258.

Almost surely, 261425408 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 61425408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89983012).

61425408 is an abundant number, since it is smaller than the sum of its proper divisors (118540616).

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

61425408 is a wasteful number, since it uses less digits than its factorization.

61425408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 61425408 is about 7837.4363155307. The cubic root of 61425408 is about 394.5626907332.

The spelling of 61425408 in words is "sixty-one million, four hundred twenty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 528 661 704 726 768 968 1056 1322 1408 1452 1936 1983 2112 2644 2816 2904 3872 3966 4224 5288 5808 7271 7744 7932 8448 10576 11616 14542 15488 15864 21152 21813 23232 29084 30976 31728 42304 43626 46464 58168 63456 79981 84608 87252 92928 116336 126912 159962 169216 174504 232672 239943 253824 319924 349008 465344 479886 507648 639848 698016 930688 959772 1279696 1396032 1861376 1919544 2559392 2792064 3839088 5118784 5584128 7678176 10237568 15356352 20475136 30712704 61425408