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61627434 = 23114719867
BaseRepresentation
bin1110101100010…
…1110000101010
311021221222221120
43223011300222
5111234034214
610040520110
71345552551
oct353056052
9137858846
1061627434
1131872670
1218780036
13c9c994b
148282d98
155624ea9
hex3ac5c2a

61627434 has 32 divisors (see below), whose sum is σ = 137327616. Its totient is φ = 18276720.

The previous prime is 61627429. The next prime is 61627439. The reversal of 61627434 is 43472616.

It is a happy number.

61627434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (61627429) and next prime (61627439).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 61627395 and 61627404.

It is not an unprimeable number, because it can be changed into a prime (61627439) by changing a digit.

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, 6832 + ... + 13035.

It is an arithmetic number, because the mean of its divisors is an integer number (4291488).

Almost surely, 261627434 is an apocalyptic number.

61627434 is an abundant number, since it is smaller than the sum of its proper divisors (75700182).

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

61627434 is a wasteful number, since it uses less digits than its factorization.

61627434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19930.

The product of its digits is 24192, while the sum is 33.

The square root of 61627434 is about 7850.3142612255. The cubic root of 61627434 is about 394.9947849549.

The spelling of 61627434 in words is "sixty-one million, six hundred twenty-seven thousand, four hundred thirty-four".

Divisors: 1 2 3 6 11 22 33 47 66 94 141 282 517 1034 1551 3102 19867 39734 59601 119202 218537 437074 655611 933749 1311222 1867498 2801247 5602494 10271239 20542478 30813717 61627434