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49906752 = 263771523
BaseRepresentation
bin1011111001100…
…0010001000000
310110220112012020
42332120101000
5100234004002
64541401440
71144125510
oct276302100
9113815166
1049906752
1126197755
1214869280
13a454b2c
1468b1840
1545ac2bc
hex2f98440

49906752 has 112 divisors (see below), whose sum is σ = 153326592. Its totient is φ = 14031360.

The previous prime is 49906751. The next prime is 49906793. The reversal of 49906752 is 25760994.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (49906751) 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, 95163 + ... + 95685.

Almost surely, 249906752 is an apocalyptic number.

49906752 is a gapful number since it is divisible by the number (42) 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 49906752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76663296).

49906752 is an abundant number, since it is smaller than the sum of its proper divisors (103419840).

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

49906752 is a wasteful number, since it uses less digits than its factorization.

49906752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 606 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 49906752 is about 7064.4711054685. The cubic root of 49906752 is about 368.1739882998.

The spelling of 49906752 in words is "forty-nine million, nine hundred six thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 71 84 96 112 142 168 192 213 224 284 336 426 448 497 523 568 672 852 994 1046 1136 1344 1491 1569 1704 1988 2092 2272 2982 3138 3408 3661 3976 4184 4544 5964 6276 6816 7322 7952 8368 10983 11928 12552 13632 14644 15904 16736 21966 23856 25104 29288 31808 33472 37133 43932 47712 50208 58576 74266 87864 95424 100416 111399 117152 148532 175728 222798 234304 259931 297064 351456 445596 519862 594128 702912 779793 891192 1039724 1188256 1559586 1782384 2079448 2376512 3119172 3564768 4158896 6238344 7129536 8317792 12476688 16635584 24953376 49906752