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61219368 = 23337192131
BaseRepresentation
bin1110100110001…
…0001000101000
311021012021012000
43221202020220
5111133004433
610024051000
71342233060
oct351421050
9137167160
1061219368
1131614021
1218603a60
13c8b5ca2
1481b83a0
155594113
hex3a62228

61219368 has 128 divisors (see below), whose sum is σ = 204672000. Its totient is φ = 16562880.

The previous prime is 61219351. The next prime is 61219369. The reversal of 61219368 is 86391216.

61219368 is a `hidden beast` number, since 612 + 1 + 9 + 36 + 8 = 666.

It is a super-2 number, since 2×612193682 = 7495622036638848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 5.

It is not an unprimeable number, because it can be changed into a prime (61219369) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27663 + ... + 29793.

It is an arithmetic number, because the mean of its divisors is an integer number (1599000).

Almost surely, 261219368 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 61219368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102336000).

61219368 is an abundant number, since it is smaller than the sum of its proper divisors (143452632).

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

61219368 is a wasteful number, since it uses less digits than its factorization.

61219368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2172 (or 2162 counting only the distinct ones).

The product of its digits is 15552, while the sum is 36.

The square root of 61219368 is about 7824.2806698124. The cubic root of 61219368 is about 394.1210343879.

The spelling of 61219368 in words is "sixty-one million, two hundred nineteen thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 84 108 114 126 133 152 168 171 189 216 228 252 266 342 378 399 456 504 513 532 684 756 798 1026 1064 1197 1368 1512 1596 2052 2131 2394 3192 3591 4104 4262 4788 6393 7182 8524 9576 12786 14364 14917 17048 19179 25572 28728 29834 38358 40489 44751 51144 57537 59668 76716 80978 89502 115074 119336 121467 134253 153432 161956 179004 230148 242934 268506 283423 323912 358008 364401 402759 460296 485868 537012 566846 728802 805518 850269 971736 1074024 1093203 1133692 1457604 1611036 1700538 2186406 2267384 2550807 2915208 3222072 3401076 4372812 5101614 6802152 7652421 8745624 10203228 15304842 20406456 30609684 61219368