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49146880 = 210529331
BaseRepresentation
bin1011101101111…
…0110000000000
310102110220211211
42323132300000
5100040200010
64513215504
71134512236
oct273366000
9112426754
1049146880
1125818862
1214561594
13a249cc3
146754956
1544ac08a
hex2edec00

49146880 has 88 divisors (see below), whose sum is σ = 122328720. Its totient is φ = 18923520.

The previous prime is 49146869. The next prime is 49146899. The reversal of 49146880 is 8864194.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 148315 + ... + 148645.

Almost surely, 249146880 is an apocalyptic number.

49146880 is a gapful number since it is divisible by the number (40) 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 49146880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61164360).

49146880 is an abundant number, since it is smaller than the sum of its proper divisors (73181840).

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

49146880 is a wasteful number, since it uses less digits than its factorization.

49146880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 385 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 49146880 is about 7010.4835781849. The cubic root of 49146880 is about 366.2958381283.

The spelling of 49146880 in words is "forty-nine million, one hundred forty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 80 116 128 145 160 232 256 290 320 331 464 512 580 640 662 928 1024 1160 1280 1324 1655 1856 2320 2560 2648 3310 3712 4640 5120 5296 6620 7424 9280 9599 10592 13240 14848 18560 19198 21184 26480 29696 37120 38396 42368 47995 52960 74240 76792 84736 95990 105920 148480 153584 169472 191980 211840 307168 338944 383960 423680 614336 767920 847360 1228672 1535840 1694720 2457344 3071680 4914688 6143360 9829376 12286720 24573440 49146880