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49744368 = 2434131293
BaseRepresentation
bin1011110111000…
…0100111110000
310110121021110000
42331300213300
5100213304433
64534110000
71142551212
oct275604760
9113537400
1049744368
1126096753
12147ab300
13a3c8c4b
14686c5b2
154579113
hex2f709f0

49744368 has 100 divisors (see below), whose sum is σ = 145568808. Its totient is φ = 16398720.

The previous prime is 49744361. The next prime is 49744403. The reversal of 49744368 is 86344794.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49744361) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 169630 + ... + 169922.

Almost surely, 249744368 is an apocalyptic number.

49744368 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 49744368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72784404).

49744368 is an abundant number, since it is smaller than the sum of its proper divisors (95824440).

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

49744368 is a wasteful number, since it uses less digits than its factorization.

49744368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 429 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 49744368 is about 7052.9687366385. The cubic root of 49744368 is about 367.7742392854.

The spelling of 49744368 in words is "forty-nine million, seven hundred forty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 131 144 162 216 262 293 324 393 432 524 586 648 786 879 1048 1172 1179 1296 1572 1758 2096 2344 2358 2637 3144 3516 3537 4688 4716 5274 6288 7032 7074 7911 9432 10548 10611 14064 14148 15822 18864 21096 21222 23733 28296 31644 38383 42192 42444 47466 56592 63288 76766 84888 94932 115149 126576 153532 169776 189864 230298 307064 345447 379728 460596 614128 690894 921192 1036341 1381788 1842384 2072682 2763576 3109023 4145364 5527152 6218046 8290728 12436092 16581456 24872184 49744368