Search a number
-
+
49999664 = 2411132412
BaseRepresentation
bin1011111010111…
…0111100110000
310111002020122102
42332232330300
5100244442124
64543355532
71144663421
oct276567460
9114066572
1049999664
1126250540
12148b2ba8
13a488200
1468d7648
1545c9aae
hex2faef30

49999664 has 90 divisors (see below), whose sum is σ = 117294948. Its totient is φ = 20467200.

The previous prime is 49999643. The next prime is 49999667. The reversal of 49999664 is 46699994.

It is a super-2 number, since 2×499996642 = 4999932800225792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (49999667) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1219484 + ... + 1219524.

Almost surely, 249999664 is an apocalyptic number.

49999664 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49999664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58647474).

49999664 is an abundant number, since it is smaller than the sum of its proper divisors (67295284).

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

49999664 is a wasteful number, since it uses less digits than its factorization.

49999664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127 (or 67 counting only the distinct ones).

The product of its digits is 3779136, while the sum is 56.

The square root of 49999664 is about 7071.0440530377. The cubic root of 49999664 is about 368.4023246391.

The spelling of 49999664 in words is "forty-nine million, nine hundred ninety-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 11 13 16 22 26 41 44 52 82 88 104 143 164 169 176 208 286 328 338 451 533 572 656 676 902 1066 1144 1352 1681 1804 1859 2132 2288 2704 3362 3608 3718 4264 5863 6724 6929 7216 7436 8528 11726 13448 13858 14872 18491 21853 23452 26896 27716 29744 36982 43706 46904 55432 73964 76219 87412 93808 110864 147928 152438 174824 240383 284089 295856 304876 349648 480766 568178 609752 961532 1136356 1219504 1923064 2272712 3124979 3846128 4545424 6249958 12499916 24999832 49999664