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49999152 = 2437672221
BaseRepresentation
bin1011111010111…
…0110100110000
310111002012221110
42332232310300
5100244433102
64543353320
71144662060
oct276566460
9114065843
1049999152
1126250115
12148b2840
13a487bc8
1468d73a0
1545c986c
hex2faed30

49999152 has 80 divisors (see below), whose sum is σ = 149887232. Its totient is φ = 14065920.

The previous prime is 49999151. The next prime is 49999177. The reversal of 49999152 is 25199994.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49999151) 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, 21402 + ... + 23622.

Almost surely, 249999152 is an apocalyptic number.

49999152 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 49999152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74943616).

49999152 is an abundant number, since it is smaller than the sum of its proper divisors (99888080).

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

49999152 is a wasteful number, since it uses less digits than its factorization.

49999152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2306 (or 2300 counting only the distinct ones).

The product of its digits is 262440, while the sum is 48.

The square root of 49999152 is about 7071.0078489562. The cubic root of 49999152 is about 368.4010671465.

The spelling of 49999152 in words is "forty-nine million, nine hundred ninety-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 67 84 112 134 168 201 268 336 402 469 536 804 938 1072 1407 1608 1876 2221 2814 3216 3752 4442 5628 6663 7504 8884 11256 13326 15547 17768 22512 26652 31094 35536 46641 53304 62188 93282 106608 124376 148807 186564 248752 297614 373128 446421 595228 746256 892842 1041649 1190456 1785684 2083298 2380912 3124947 3571368 4166596 6249894 7142736 8333192 12499788 16666384 24999576 49999152