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61451376 = 2437374943
BaseRepresentation
bin1110101001101…
…0110001110000
311021122001102220
43222122301300
5111212421001
610033041040
71344220350
oct352326160
9137561386
1061451376
1131762368
12186b6180
13c96777c
148238b60
1555dcc36
hex3a9ac70

61451376 has 80 divisors (see below), whose sum is σ = 186369024. Its totient is φ = 17079552.

The previous prime is 61451353. The next prime is 61451387. The reversal of 61451376 is 67315416.

61451376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×614513762 = 7552543224586752, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9961 + ... + 14903.

Almost surely, 261451376 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 61451376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93184512).

61451376 is an abundant number, since it is smaller than the sum of its proper divisors (124917648).

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

61451376 is a wasteful number, since it uses less digits than its factorization.

61451376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4998 (or 4992 counting only the distinct ones).

The product of its digits is 15120, while the sum is 33.

The square root of 61451376 is about 7839.0928046554. The cubic root of 61451376 is about 394.6182842342.

The spelling of 61451376 in words is "sixty-one million, four hundred fifty-one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 444 518 592 777 888 1036 1554 1776 2072 3108 4144 4943 6216 9886 12432 14829 19772 29658 34601 39544 59316 69202 79088 103803 118632 138404 182891 207606 237264 276808 365782 415212 548673 553616 731564 830424 1097346 1280237 1463128 1660848 2194692 2560474 2926256 3840711 4389384 5120948 7681422 8778768 10241896 15362844 20483792 30725688 61451376