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49393152 = 2935397
BaseRepresentation
bin1011110001101…
…0111000000000
310102221102200000
42330122320000
5100121040102
64522400000
71136556234
oct274327000
9112842600
1049393152
1125976896
1214660000
13a305123
1467ba5c4
15450a01c
hex2f1ae00

49393152 has 120 divisors (see below), whose sum is σ = 148204056. Its totient is φ = 16422912.

The previous prime is 49393147. The next prime is 49393153. The reversal of 49393152 is 25139394.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49393153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 124218 + ... + 124614.

Almost surely, 249393152 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 49393152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74102028).

49393152 is an abundant number, since it is smaller than the sum of its proper divisors (98810904).

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

49393152 is an frugal number, since it uses more digits than its factorization.

49393152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 430 (or 402 counting only the distinct ones).

The product of its digits is 29160, while the sum is 36.

The square root of 49393152 is about 7028.0261809416. The cubic root of 49393152 is about 366.9066476747.

The spelling of 49393152 in words is "forty-nine million, three hundred ninety-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 397 432 486 512 576 648 768 794 864 972 1152 1191 1296 1536 1588 1728 1944 2304 2382 2592 3176 3456 3573 3888 4608 4764 5184 6352 6912 7146 7776 9528 10368 10719 12704 13824 14292 15552 19056 20736 21438 25408 28584 31104 32157 38112 41472 42876 50816 57168 62208 64314 76224 85752 96471 101632 114336 124416 128628 152448 171504 192942 203264 228672 257256 304896 343008 385884 457344 514512 609792 686016 771768 914688 1029024 1372032 1543536 1829376 2058048 2744064 3087072 4116096 5488128 6174144 8232192 12348288 16464384 24696576 49393152