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50698144 = 257331149
BaseRepresentation
bin1100000101100…
…1011110100000
310112101201210001
43001121132200
5100434320034
65010345344
71153633000
oct301313640
9115351701
1050698144
11266882a2
1214b8b254
13a671103
146a3a000
1546b6a14
hex30597a0

50698144 has 96 divisors (see below), whose sum is σ = 120960000. Its totient is φ = 20885760.

The previous prime is 50698139. The next prime is 50698201. The reversal of 50698144 is 44189605.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 340182 + ... + 340330.

It is an arithmetic number, because the mean of its divisors is an integer number (1260000).

Almost surely, 250698144 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 50698144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60480000).

50698144 is an abundant number, since it is smaller than the sum of its proper divisors (70261856).

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

50698144 is a wasteful number, since it uses less digits than its factorization.

50698144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 37.

The square root of 50698144 is about 7120.2629164940. The cubic root of 50698144 is about 370.1098870106.

The spelling of 50698144 in words is "fifty million, six hundred ninety-eight thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 98 112 124 149 196 217 224 248 298 343 392 434 496 596 686 784 868 992 1043 1192 1372 1519 1568 1736 2086 2384 2744 3038 3472 4172 4619 4768 5488 6076 6944 7301 8344 9238 10633 10976 12152 14602 16688 18476 21266 24304 29204 32333 33376 36952 42532 48608 51107 58408 64666 73904 85064 102214 116816 129332 147808 170128 204428 226331 233632 258664 340256 408856 452662 517328 817712 905324 1034656 1584317 1635424 1810648 3168634 3621296 6337268 7242592 12674536 25349072 50698144