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61073472 = 263312331
BaseRepresentation
bin1110100011111…
…0100001000000
311020220212001110
43220332201000
5111113322342
610021003320
71341054525
oct350764100
9136825043
1061073472
1131524449
1218553540
13c864765
14817b14c
155565c9c
hex3a3e840

61073472 has 84 divisors (see below), whose sum is σ = 167475408. Its totient is φ = 19641600.

The previous prime is 61073447. The next prime is 61073489. The reversal of 61073472 is 27437016.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 184347 + ... + 184677.

Almost surely, 261073472 is an apocalyptic number.

61073472 is a gapful number since it is divisible by the number (62) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61073472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83737704).

61073472 is an abundant number, since it is smaller than the sum of its proper divisors (106401936).

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

61073472 is a wasteful number, since it uses less digits than its factorization.

61073472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 30.

The square root of 61073472 is about 7814.9518232680. The cubic root of 61073472 is about 393.8076998839.

The spelling of 61073472 in words is "sixty-one million, seventy-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 186 192 248 331 372 496 662 744 961 992 993 1324 1488 1922 1984 1986 2648 2883 2976 3844 3972 5296 5766 5952 7688 7944 10261 10592 11532 15376 15888 20522 21184 23064 30752 30783 31776 41044 46128 61504 61566 63552 82088 92256 123132 164176 184512 246264 318091 328352 492528 636182 656704 954273 985056 1272364 1908546 1970112 2544728 3817092 5089456 7634184 10178912 15268368 20357824 30536736 61073472