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49824768 = 210372331
BaseRepresentation
bin1011111000010…
…0010000000000
310110202100201210
42332010100000
5100223343033
64535530120
71143334500
oct276042000
9113670653
1049824768
11261410a4
1214829940
13a426716
14688da00
154592d63
hex2f84400

49824768 has 132 divisors (see below), whose sum is σ = 154949712. Its totient is φ = 14192640.

The previous prime is 49824727. The next prime is 49824769. The reversal of 49824768 is 86742894.

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 (49824769) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 150363 + ... + 150693.

Almost surely, 249824768 is an apocalyptic number.

49824768 is a gapful number since it is divisible by the number (48) 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 49824768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77474856).

49824768 is an abundant number, since it is smaller than the sum of its proper divisors (105124944).

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

49824768 is a wasteful number, since it uses less digits than its factorization.

49824768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 368 (or 343 counting only the distinct ones).

The product of its digits is 774144, while the sum is 48.

The square root of 49824768 is about 7058.6661629518. Note that the first 3 decimals coincide. The cubic root of 49824768 is about 367.9722726431.

The spelling of 49824768 in words is "forty-nine million, eight hundred twenty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 331 336 384 392 448 512 588 662 672 768 784 896 993 1024 1176 1324 1344 1536 1568 1792 1986 2317 2352 2648 2688 3072 3136 3584 3972 4634 4704 5296 5376 6272 6951 7168 7944 9268 9408 10592 10752 12544 13902 15888 16219 18536 18816 21184 21504 25088 27804 31776 32438 37072 37632 42368 48657 50176 55608 63552 64876 74144 75264 84736 97314 111216 127104 129752 148288 150528 169472 194628 222432 254208 259504 296576 338944 389256 444864 508416 519008 593152 778512 889728 1016832 1038016 1186304 1557024 1779456 2076032 2372608 3114048 3558912 4152064 6228096 7117824 8304128 12456192 16608256 24912384 49824768