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61266816 = 2732134091
BaseRepresentation
bin1110100110110…
…1101110000000
311021021200021100
43221231232000
5111141014231
610025054400
71342521312
oct351555600
9137250240
1061266816
1131646736
1218627400
13c901770
1481cb7b2
1555a31e6
hex3a6db80

61266816 has 96 divisors (see below), whose sum is σ = 189909720. Its totient is φ = 18846720.

The previous prime is 61266767. The next prime is 61266847. The reversal of 61266816 is 61866216.

61266816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 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 11 ways as a sum of consecutive naturals, for example, 12931 + ... + 17021.

Almost surely, 261266816 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 61266816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94954860).

61266816 is an abundant number, since it is smaller than the sum of its proper divisors (128642904).

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

61266816 is a wasteful number, since it uses less digits than its factorization.

61266816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124 (or 4109 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 61266816 is about 7827.3121823523. The cubic root of 61266816 is about 394.2228291103. Note that the first 3 decimals are identical.

The spelling of 61266816 in words is "sixty-one million, two hundred sixty-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4091 4992 7488 8182 12273 14976 16364 24546 32728 36819 49092 53183 65456 73638 98184 106366 130912 147276 159549 196368 212732 261824 294552 319098 392736 425464 478647 523648 589104 638196 785472 850928 957294 1178208 1276392 1570944 1701856 1914588 2356416 2552784 3403712 3829176 4712832 5105568 6807424 7658352 10211136 15316704 20422272 30633408 61266816