Search a number
-
+
57994440 = 2335731409
BaseRepresentation
bin1101110100111…
…0110011001000
311001010102102020
43131032303020
5104321310230
65431004440
71302642000
oct335166310
9131112366
1057994440
112a811099
1217509720
13c02714a
1479b9000
155158810
hex374ecc8

57994440 has 128 divisors (see below), whose sum is σ = 203040000. Its totient is φ = 13246464.

The previous prime is 57994439. The next prime is 57994471. The reversal of 57994440 is 4449975.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 57994392 and 57994401.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40456 + ... + 41864.

It is an arithmetic number, because the mean of its divisors is an integer number (1586250).

Almost surely, 257994440 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 57994440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101520000).

57994440 is an abundant number, since it is smaller than the sum of its proper divisors (145045560).

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

57994440 is a wasteful number, since it uses less digits than its factorization.

57994440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1444 (or 1426 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 57994440 is about 7615.4080652320. The cubic root of 57994440 is about 387.0752946594.

The spelling of 57994440 in words is "fifty-seven million, nine hundred ninety-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 343 392 420 490 588 686 735 840 980 1029 1176 1372 1409 1470 1715 1960 2058 2744 2818 2940 3430 4116 4227 5145 5636 5880 6860 7045 8232 8454 9863 10290 11272 13720 14090 16908 19726 20580 21135 28180 29589 33816 39452 41160 42270 49315 56360 59178 69041 78904 84540 98630 118356 138082 147945 169080 197260 207123 236712 276164 295890 345205 394520 414246 483287 552328 591780 690410 828492 966574 1035615 1183560 1380820 1449861 1656984 1933148 2071230 2416435 2761640 2899722 3866296 4142460 4832870 5799444 7249305 8284920 9665740 11598888 14498610 19331480 28997220 57994440