Search a number
-
+
66619392 = 211371549
BaseRepresentation
bin1111111000100…
…0100000000000
311122100121121220
43332020200000
5114023310032
610335515040
71436153430
oct376104000
9148317556
1066619392
1134672154
121a388a80
1310a56b78
148bc22c0
155cae12c
hex3f88800

66619392 has 96 divisors (see below), whose sum is σ = 203112000. Its totient is φ = 19021824.

The previous prime is 66619367. The next prime is 66619393. The reversal of 66619392 is 29391666.

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 (42).

It is not an unprimeable number, because it can be changed into a prime (66619393) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42234 + ... + 43782.

It is an arithmetic number, because the mean of its divisors is an integer number (2115750).

Almost surely, 266619392 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 66619392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101556000).

66619392 is an abundant number, since it is smaller than the sum of its proper divisors (136492608).

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

66619392 is a wasteful number, since it uses less digits than its factorization.

66619392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581 (or 1561 counting only the distinct ones).

The product of its digits is 104976, while the sum is 42.

The square root of 66619392 is about 8162.0703255975. The cubic root of 66619392 is about 405.3842656835.

The spelling of 66619392 in words is "sixty-six million, six hundred nineteen thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1549 1792 2048 2688 3072 3098 3584 4647 5376 6144 6196 7168 9294 10752 10843 12392 14336 18588 21504 21686 24784 32529 37176 43008 43372 49568 65058 74352 86744 99136 130116 148704 173488 198272 260232 297408 346976 396544 520464 594816 693952 793088 1040928 1189632 1387904 1586176 2081856 2379264 2775808 3172352 4163712 4758528 5551616 8327424 9517056 11103232 16654848 22206464 33309696 66619392