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49940814 = 23711231317
BaseRepresentation
bin1011111010000…
…0100101001110
310110222020220210
42332200211032
5100241101224
64542223250
71144330020
oct276404516
9113866823
1049940814
1126210300
1214884b26
13a4674a1
1468c0010
1545b7429
hex2fa094e

49940814 has 96 divisors (see below), whose sum is σ = 129927168. Its totient is φ = 12513600.

The previous prime is 49940791. The next prime is 49940819. The reversal of 49940814 is 41804994.

49940814 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49940819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157384 + ... + 157700.

It is an arithmetic number, because the mean of its divisors is an integer number (1353408).

Almost surely, 249940814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49940814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64963584).

49940814 is an abundant number, since it is smaller than the sum of its proper divisors (79986354).

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

49940814 is a wasteful number, since it uses less digits than its factorization.

49940814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 49940814 is about 7066.8814904454. The cubic root of 49940814 is about 368.2577304114.

The spelling of 49940814 in words is "forty-nine million, nine hundred forty thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 11 14 21 22 31 33 42 62 66 77 93 121 154 186 217 231 242 317 341 363 434 462 634 651 682 726 847 951 1023 1302 1694 1902 2046 2219 2387 2541 3487 3751 4438 4774 5082 6657 6974 7161 7502 9827 10461 11253 13314 14322 19654 20922 22506 24409 26257 29481 38357 48818 52514 58962 68789 73227 76714 78771 108097 115071 137578 146454 157542 206367 216194 230142 268499 324291 412734 536998 648582 756679 805497 1189067 1513358 1610994 2270037 2378134 3567201 4540074 7134402 8323469 16646938 24970407 49940814