Search a number
-
+
57969408 = 283741263
BaseRepresentation
bin1101110100100…
…0101100000000
311001002011002010
43131020230000
5104320010113
65430252520
71302506010
oct335105400
9131064063
1057969408
112a7a4302
12174b7140
13c018933
1479adc40
1551511c3
hex3748b00

57969408 has 144 divisors (see below), whose sum is σ = 181310976. Its totient is φ = 16097280.

The previous prime is 57969403. The next prime is 57969421. The reversal of 57969408 is 80496975.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (57969403) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 220285 + ... + 220547.

It is an arithmetic number, because the mean of its divisors is an integer number (1259104).

Almost surely, 257969408 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 57969408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90655488).

57969408 is an abundant number, since it is smaller than the sum of its proper divisors (123341568).

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

57969408 is a wasteful number, since it uses less digits than its factorization.

57969408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 48.

The square root of 57969408 is about 7613.7643777569. The cubic root of 57969408 is about 387.0195958536.

The spelling of 57969408 in words is "fifty-seven million, nine hundred sixty-nine thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 56 64 82 84 96 112 123 128 164 168 192 224 246 256 263 287 328 336 384 448 492 526 574 656 672 768 789 861 896 984 1052 1148 1312 1344 1578 1722 1792 1841 1968 2104 2296 2624 2688 3156 3444 3682 3936 4208 4592 5248 5376 5523 6312 6888 7364 7872 8416 9184 10496 10783 11046 12624 13776 14728 15744 16832 18368 21566 22092 25248 27552 29456 31488 32349 33664 36736 43132 44184 50496 55104 58912 64698 67328 73472 75481 86264 88368 100992 110208 117824 129396 150962 172528 176736 201984 220416 226443 235648 258792 301924 345056 353472 452886 471296 517584 603848 690112 706944 905772 1035168 1207696 1380224 1413888 1811544 2070336 2415392 2760448 3623088 4140672 4830784 7246176 8281344 9661568 14492352 19323136 28984704 57969408