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49056384 = 2731331317
BaseRepresentation
bin1011101100100…
…0101010000000
310102022022201010
42323020222000
5100024301014
64511240520
71133654346
oct273105200
9112268633
1049056384
1125766873
1214519140
13a217a60
14672d996
154490359
hex2ec8a80

49056384 has 128 divisors (see below), whose sum is σ = 145313280. Its totient is φ = 14561280.

The previous prime is 49056367. The next prime is 49056389. The reversal of 49056384 is 48365094.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×490563842 = 4813057622310912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (49056389) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154594 + ... + 154910.

It is an arithmetic number, because the mean of its divisors is an integer number (1135260).

Almost surely, 249056384 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 49056384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72656640).

49056384 is an abundant number, since it is smaller than the sum of its proper divisors (96256896).

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

49056384 is a wasteful number, since it uses less digits than its factorization.

49056384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 378 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 49056384 is about 7004.0262706532. The cubic root of 49056384 is about 366.0708752229.

The spelling of 49056384 in words is "forty-nine million, fifty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 64 78 93 96 104 124 128 156 186 192 208 248 312 317 372 384 403 416 496 624 634 744 806 832 951 992 1209 1248 1268 1488 1612 1664 1902 1984 2418 2496 2536 2976 3224 3804 3968 4121 4836 4992 5072 5952 6448 7608 8242 9672 9827 10144 11904 12363 12896 15216 16484 19344 19654 20288 24726 25792 29481 30432 32968 38688 39308 40576 49452 51584 58962 60864 65936 77376 78616 98904 117924 121728 127751 131872 154752 157232 197808 235848 255502 263744 314464 383253 395616 471696 511004 527488 628928 766506 791232 943392 1022008 1257856 1533012 1582464 1886784 2044016 3066024 3773568 4088032 6132048 8176064 12264096 16352128 24528192 49056384