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49230432 = 2532473637
BaseRepresentation
bin1011101111001…
…1001001100000
310102122011110100
42323303021200
5100100333212
64515102400
71135310646
oct273631140
9112564410
1049230432
1125875609
12145a1a00
13a279044
146777196
1544c6bdc
hex2ef3260

49230432 has 72 divisors (see below), whose sum is σ = 143017056. Its totient is φ = 16056576.

The previous prime is 49230421. The next prime is 49230443. The reversal of 49230432 is 23403294.

49230432 = 233 + 243 + ... + 1183.

It is a happy number.

49230432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (49230421) and next prime (49230443).

It is a tau number, because it is divible by the number of its divisors (72).

It is a junction number, because it is equal to n+sod(n) for n = 49230396 and 49230405.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11718 + ... + 15354.

It is an arithmetic number, because the mean of its divisors is an integer number (1986348).

Almost surely, 249230432 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 49230432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71508528).

49230432 is an abundant number, since it is smaller than the sum of its proper divisors (93786624).

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

49230432 is a wasteful number, since it uses less digits than its factorization.

49230432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3700 (or 3689 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 49230432 is about 7016.4401230254. The cubic root of 49230432 is about 366.5032939767.

The spelling of 49230432 in words is "forty-nine million, two hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 2256 3384 3637 4512 6768 7274 10911 13536 14548 21822 29096 32733 43644 58192 65466 87288 116384 130932 170939 174576 261864 341878 349152 512817 523728 683756 1025634 1047456 1367512 1538451 2051268 2735024 3076902 4102536 5470048 6153804 8205072 12307608 16410144 24615216 49230432