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49740264 = 2333767491
BaseRepresentation
bin1011110110111…
…1100111101000
310110121001211000
42331233213220
5100213142024
64534035000
71142533230
oct275574750
9113531730
1049740264
1126093662
12147a8a60
13a3c7112
14686acc0
154577cc9
hex2f6f9e8

49740264 has 128 divisors (see below), whose sum is σ = 160588800. Its totient is φ = 13970880.

The previous prime is 49740259. The next prime is 49740277. The reversal of 49740264 is 46204794.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 101059 + ... + 101549.

It is an arithmetic number, because the mean of its divisors is an integer number (1254600).

Almost surely, 249740264 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 49740264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80294400).

49740264 is an abundant number, since it is smaller than the sum of its proper divisors (110848536).

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

49740264 is a wasteful number, since it uses less digits than its factorization.

49740264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 580 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 49740264 is about 7052.6777893223. The cubic root of 49740264 is about 367.7641249947.

The spelling of 49740264 in words is "forty-nine million, seven hundred forty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 67 72 84 108 126 134 168 189 201 216 252 268 378 402 469 491 504 536 603 756 804 938 982 1206 1407 1473 1512 1608 1809 1876 1964 2412 2814 2946 3437 3618 3752 3928 4221 4419 4824 5628 5892 6874 7236 8442 8838 10311 11256 11784 12663 13257 13748 14472 16884 17676 20622 25326 26514 27496 30933 32897 33768 35352 41244 50652 53028 61866 65794 82488 92799 98691 101304 106056 123732 131588 185598 197382 230279 247464 263176 296073 371196 394764 460558 592146 690837 742392 789528 888219 921116 1184292 1381674 1776438 1842232 2072511 2368584 2763348 3552876 4145022 5526696 6217533 7105752 8290044 12435066 16580088 24870132 49740264